Determine the x and y intercepts for the graph defined by the given equation. y = x + 8
x-intercept is (0, 8), y-intercept is (-8, 0)
x-intercept is (-8, 0), y-intercept is (0, 8)
x-intercept is (0, -8), y-intercept is (8, 0)
x-intercept is (8, 0), y-intercept is (0, -8)

Solution:

Given: Equation y = x + 8

x-Intercept is defined as the intersection point on x-axis where the line cuts it

y-intercept is defined as the intersection point on y-axis where the line cuts it

We have intercept form of line equation as y = mx + c,

where m is the slope of the line and c is the intercept

So, x-intercept coordinates will be (x, 0) put this in y = x + 8,

we get (-8, 0)

So, y-intercept coordinates will be (0, y) put this in y = x + 8,

we get (0, 8)

x-intercept and y-intercept of the given line is (-8, 0) and (0, 8) respectively.

Determine the x and y intercepts for the graph defined by the given equation. y = x + 8

Summary:

The x and y intercepts for the graph defined by the given equation.y = x + 8 are (-8, 0) and (0, 8) respectively.