Question

On a coordinate plane, a line goes through points (negative 4, 0) and (0, negative 8). For the graph, locate the x-intercept and the y-intercept. x-intercept = -- y-intercept = --

Answer 1

y=-8

x=-4

Step-by-step explanation:

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Answer 2

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:

`(y-y_1)=(y_2-y_1)/(x_2-x_1)(x-x_1)`

Therefore the equation of a line that pass through points (-4, 0) and (0, -8) is:

`(y-y_1)=(y_2-y_1)/(x_2-x_1)(x-x_1)\\y-0=(-8-0)/(0-(-4))(x-(-4))\\ y=(-8)/(4) (x+4)\\y=-2(x+4)\\y=-2x-8`

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