Finding Slope-Intercept Form from Two Points

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 Form from Two Points

This lesson walks through finding the equation of a line in slope-intercept form given two points. Students learn to calculate slope using the slope formula, then solve for the y-intercept by substituting a known point, and finally verify the equation with a second point and a graph.

In this lesson, you will learn to:
• Calculate the slope of a line given two coordinate points using the slope formula.
• Determine the y-intercept by substituting a known point into the slope-intercept form.
• Write and verify the equation of a line in slope-intercept form y = mx + b.
• Interpret the slope and y-intercept graphically on a coordinate plane.

Course: Al