Respuesta :

The equation of a line is written in form y = Mx+ b

M is the slope, also known as the gradient.

You are given the gradient and one point , which is an x and y value. Using that solve for b:

1. Gradient = 2, x = 4, y= 3

3 = 2(4) + b

3 = 8 + b

Subtract 8 from both sides:

B = -5

The equation becomes y = 2x-5

2. Gradient = -3, x= -1, y = 7

7 = -3(-1) + b

7 = 3 + b

Subtract 3 from both sides:

B = 4

Equation becomes: y = -3 +4

y-3=2(x-4)
y-3=2x-8
y=2x-8+3
y=2x-5

y-7=-3(x-(-1))
y-7=-3(x+1)
y=-3x-3+7
y=-3x+4