Respuesta :

Answer:

q = - 13

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 6

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 1, q) and (x₂, y₂ ) = (0, - 7)

m = [tex]\frac{-7-q}{0+1}[/tex] = - 7 - q , then

- 7 - q = 6 ( add 7 to both sides )

- q = 13 ( multiply both sides by - 1 )

q = - 13

Answer:

q = -13?

Step-by-step explanation:

the equation is y = mx + c

m is the gradient

c is the y-intercept

where the line crosses the y axis

If 6 is the gradient then the equation is

y = 6x + c

Find c by using the coordinates given:

-7 = ( 6× 0) +c

-7 = 0 + c

c = -7

the equation is y = 6x -7

Substitute the other coordinates to find q:

y or q = (6 ×-1) - 7

q = -6 -7

q = -13