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Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-
Browse organized narrated video solutions. Each problem page includes the question, course, book, chapter, and related study links.
Video solutions
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Real-World Application: Linear Modeling
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-A plant's height is measured over time. On day 8, the plant is 12 cm tall. On day 20, the plant is 26 cm tall. Write an equation in point-slope form to model the plant's height as a function of days . Then convert… -
Finding Slope-Intercept Form from Two Points
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-Question:
A line passes through the points 2 comma 5 and 6 comma 17. Write the equation of the line in slope-intercept form, y equals m x plus b. Show all steps to find the slope and y-intercept.
Finding Slope-Intercept… -
Graphing and Interpreting Slope-Intercept Form
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-Question:
The equation y equals negative 2 x plus 10 represents a linear function. Part a: Identify the slope and y-intercept. Part b: Graph the line on a coordinate plane, clearly marking the y-intercept and at least tw… -
Writing Equations from Real-World Scenarios
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-Question:
A swimming pool is being drained. It starts with 8,000 gallons of water and drains at a constant rate of 250 gallons per hour. Write an equation in slope-intercept form that represents the amount of water, y in… -
Finding Linear Equation from Point and Slope
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-Question:
A line passes through the point 3 comma 7 and has a slope of 2. Write the equation of the line in point-slope form, then convert it to slope-intercept form.
Finding Linear Equation from Point and Slope
This l… -
Writing Equation from Two Points
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-Question:
Two points on a line are negative 2 comma 5 and 4 comma negative 1. Find the slope of the line, write the equation in point-slope form using one of the points, and then express it in slope-intercept form.
Writ… -
Finding Parallel Line Equations from a Given Slope
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-Question:
A line passes through the point 2 comma 5 and is parallel to the line y equals 3x minus 4. Write the equation of the line in slope-intercept form.
Finding Parallel Line Equations from a Given Slope
This lesso… -
Finding Perpendicular Line Equations Using Negative Reciprocals
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-Question:
Write the equation of the line that passes through the point negative 3 comma 2 and is perpendicular to y equals 2x plus 6. Express your answer in slope-intercept form.
Finding Perpendicular Line Equations Usi… -
Identifying Parallel and Perpendicular Lines from Equations
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-Question:
Determine whether the lines 4x minus 2y equals 8, y equals 2x plus 3, and 3y equals negative 6x plus 9 are parallel, perpendicular, or neither to each other. Justify your answer by comparing slopes.
Identifyin… -
Finding the Line of Best Fit from Temperature Data
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-Question:
A weather station records the daily high temperature in degrees Fahrenheit and the number of ice cream cones sold at a nearby shop over 6 days. The data points are: 68 comma 42, 72 comma 58, 75 comma 71, 78 com… -
Writing a Linear Function from a Real-World Scenario
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-Question:
A gym membership costs 25 dollars per month after an initial enrollment fee. A member pays a total of 160 dollars after 4 months and 285 dollars after 10 months. Part a: Write a linear equation in the form y eq… -
Interpreting and Using Linear Equations in Context
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-Question:
A phone plan charges a base rate plus a per-minute charge. The total monthly bill is modeled by the equation C equals 12 plus 0.08 times m, where C is the cost in dollars and m is the number of minutes used. Pa… -
Finding the Best-Fit Line for Temperature Data
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-Question:
A data set records the average daily temperature in degrees Fahrenheit and the number of ice cream sales for 6 consecutive days. Day 1: 62 degrees, 18 sales. Day 2: 68 degrees, 35 sales. Day 3: 75 degrees, 52 s… -
Comparing Two Lines of Fit for Study Hours vs. Test Scores
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-Question:
A data set records the number of hours studied and the corresponding test scores. Study hours go from 1 to 8. The test scores for those hours are 52, 61, 58, 78, 82, 87, 89, and 95. Part a: Plot the data and id… -
Profit vs. Production Volume Line of Fit
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-Question:
A manufacturing company tracks its monthly profit in thousands of dollars based on the number of units produced in hundreds. The data is as follows: when 10 hundred units are produced, the monthly profit is 5 t… -
Finding the Common Difference and nth Term
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-Question:
A swimming pool's water level is being monitored daily. On day 1, the level is 48 inches. On day 2, it is 46 inches. On day 3, it is 44 inches. Identify the common difference and write an explicit formula for t… -
Writing a Linear Function from an Arithmetic Sequence
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-Question:
A video streaming service charges a one-time setup fee plus a monthly subscription. In month 1, the total cost is 25 dollars. In month 3, the total cost is 55 dollars. In month 6, the total cost is 100 dollars.… -
Recursive and Explicit Formulas in Real-World Context
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-Question:
A concert venue adds seats in arithmetic sequence rows. Row 8 has 72 seats and row 12 has 88 seats. Write both a recursive formula — a of n equals a of n minus 1, plus d — and an explicit formula — a of n equal…