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Write an equation for the linear function shown below, then identify the x- & y-intercepts.

A)
y=10x

B)
y=10

C) X-Intercept:
x=10, Y-Intercept:
y=10

D) Equation:
y=mx+b, X-Intercept:

x=10, Y-Intercept:

y=10

1 Answer

1 vote

Final answer:

The linear function with a slope of 10 and a y-intercept of (0, 10) is written as y = 10x + 10. The x-intercept is x = -1, and the y-intercept is y = 10.

Step-by-step explanation:

When writing the equation of a linear function, it's important to use the standard slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. Unfortunately, the original question doesn't provide the specific details of the line graph, such as the slope or y-intercept. Assuming the slope is 10 and it passes through the y-axis at (0, 10), the equation would be y = 10x + 10.

The x-intercept is found by setting y to 0 and solving for x. So, if you have y = 10x + 10, setting y to 0 gives 0 = 10x + 10, which simplifies to x = -1. Therefore, the x-intercept is x = -1.

The y-intercept is given by the constant term b when x is equal to 0. In the equation y = 10x + 10, when x is 0, y = 10. So, the y-intercept is y = 10.

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