Writing Equation from Two Points
Algebra · Algebra 1 · Big Ideas Math · Ron Larson · Chapter 4-
Step-by-step video solution
Watch video solutionThis DoAssignment.ca lesson explains the problem with a narrated, step-by-step solution for students studying Algebra from Algebra 1 · Big Ideas Math · Ron Larson.
Problem and lesson overview
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.
Writing Equation from Two Points
This lesson walks through finding the slope from two coordinate points, then expressing the line in both point-slope form and slope-intercept form. Students practice the full workflow from the slope formula through algebraic manipulation to graphing.
In this lesson, you will learn to:
• Calculate the slope of a line given two points using the slope formula.
• Write the equation of a line in point-slope form using a known point and slope.
• Convert a point-slope equation to slope-intercept form by solving for y.
• Graph a linear equation and verify that given points lie on the line.
Course: Algebra1 · Big Ideas Math · Ron Larson · Chapter 4-
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.
Writing Equation from Two Points
This lesson walks through finding the slope from two coordinate points, then expressing the line in both point-slope form and slope-intercept form. Students practice the full workflow from the slope formula through algebraic manipulation to graphing.
In this lesson, you will learn to:
• Calculate the slope of a line given two points using the slope formula.
• Write the equation of a line in point-slope form using a known point and slope.
• Convert a point-slope equation to slope-intercept form by solving for y.
• Graph a linear equation and verify that given points lie on the line.
Course: Algebra1 · Big Ideas Math · Ron Larson · Chapter 4-
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