A The equation of the line that has a gradient of -4 and passes through the point (-3,-4) is:(#with solution)​

y = -4x - 16 or y +4x + 16 = 0

Step-by-step explanation:

Gradient (m) = -4

Equation of a line given gradient and one point=

y - y = m(x - x) where (x , y ) are the coordinates of the point.

Substituting...

y -(-4) = -4(x -(-3))

y + 4 = -4(x + 3)

y + 4 = -4x - 12

y = -4x - 12 - 4

y = -4x - 16 or y +4x + 16 = 0

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2