Question

A line passes through the point (6, -8) and has a slope of -3/2

Write an equation in slope-intercept form for this line.

Answer 1

Use y=mx + b, which is slope intercept form

b = y intercept(when x=0)
m = slope

You need to find the y intercept. Use your coordinates and substitute it in the slope intercept equation.

we use (6, -8)

y = mx + b

Then, -8 = -3/2(6) + b

-8 = -9 + b
1 = b

Thus,

y = -3/2x + 1