Question

Write the equation of the line in slope-intercept and standard form whose graph passes through the given point and has the given slope:

(3,-2), m = -3/2

THANK YOU :)

Answer 1

you know it must look like:

y = mx + b
given: m = -3/2, so

y = (-3/2)x + b
but (3,-2) lies on it, so
-2 = (-3/2)(3) + b
-2 + 9/2 = b
b = 5/2

y = (-3/2)x + 5/2

Answer 2

or, just start with what you are given: a point and a slope. Ding ding - use the point-slope form of the line:

y+2 = -3/2 (x-3)

now just rearrange stuff, and you will get Reiny's equation.