Question

M=-7:(9,-8) THE EQUATION OF THE LINE IS

Answer 1

y = -7x + 55

Explanation:

the slope intercept form is y =mx + b

substitute the slope and a pair of point to the formula to find b

-8= -7(9) + b

-8 = -63 + b

-8 + 63 = b

b = 55

so the equation is

y = -7x + 55

Answer 2

y = -7x + 55

Explanation:

In order to find the equation of this line, I am going to use the point-slope formula :

`\diamondsuit\quad\bf{y-y_1=m(x-x_1)}`

where:

`\diamondsuit` m is the slope

`\diamondsuit` (x₁, y₁) is a point on the line

Substitute the values:

`\diamondsuit\qquad\bf{y-(-8)=-7(x-9)}`

`\diamondsuit\qquad\bf{y+8=-7(x-9)}`

`\diamondsuit\qquad\bf{y+8=-7x+63}`

`\diamondsuit\qquad\bf{y=-7x+63-8}`

`\diamondsuit\qquad\bf{y=-7x+55}`

therefore ,y = -7x + 55.