Answer:
The x intercept is -4
The y intercept = -8
Step-by-step explanation:
a line goes through points (-4, 0) and (0, -8). The equation of a line that pass through the point (x₁, y₁) and (x₂, y₂) is given as:
[tex](y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Therefore the equation of a line that pass through points (-4, 0) and (0, -8) is:
[tex](y-y_1)=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\y-0=\frac{-8-0}{0-(-4)}(x-(-4))\\ y=\frac{-8}{4} (x+4)\\y=-2(x+4)\\y=-2x-8[/tex]
Comparing y = -2x - 8 with y = mx + c where c is the y intercept, it can be gotten that c = -8
The y intercept = -8
To get the x intercept, substitute y=0
y = -2x - 8
substituting y = 0
0 = -2x -8
-2x = 8
x = -4
The x intercept is -4
