Question

Writing the Equation of a Line
Use slope-intercept form, y = mx + b, to find the value for the y-intercept (b) of a line that has a slope of 6 and passes through the point (3, –5).
b =
What is the new equation written in slope-intercept form?

Answer 1

Use y = mx + b. Substitute m = 6 and (x,y) = (3, -5):

-5 = 6(3) + b
-5 = 18 + b
b = -23

So the equation is y = 6x - 23.