Answer:
y= 3x +4
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx +c, where m is the gradient and c is the y-intercept.
To find the value of m, use the gradient formula below:
[tex]gradient = \frac{y1 - y2}{x1 - x2} [/tex]
Gradient
[tex] = \frac{4 - ( - 8)}{0 - ( - 4)} \\ = \frac{4 + 8}{0 + 4} \\ = \frac{12}{4} \\ = 3[/tex]
Subst. m=3 into the equation.
y= 3x +c
To find the value of c, substitute a coordinate.
When x=0, y=4,
4= 3(0) +c
c=4
Thus, the equation of the line is y= 3x +4.
