Question

linear equation in point slope form for a line that passes through the point (3,2) and has a slope of -4

Answer 1

y = -4x + 14

Explanation:

We'll use the slope intercept form: y = mx + b

It is given that the slope of -4, so m will be -4 like this: y = -4x + b

We are also given the coordinates where x = 3 and y =2

2 = -4(3) + b

2 = -12 + b

Add 12 to both sides

2 = -12 + b

+ 12 + 12

b = 14

We end up with y = -4x + 14