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Find the x
- and y
-intercepts of the equation.



h(x)=4x−7

1 Answer

1 vote

Let's understand how to the x and y-intercepts given an equation.

X-intercept:

The x-intercept represents the point at which the graph of the equation crosses the x-axis, meaning the y-coordinate is zero.

Y-intercept:

The y-intercept denotes the point where the graph crosses the y-axis, having an x-coordinate of zero.

To find the x-intercept, we set y = 0 in the equation h(x) = 4x - 7 and solve for x:

0 = 4x - 7

Adding 7 to both sides:

7 = 4x

Dividing both sides by 4:

x = 7/4 or 1.75

Thus, the x-intercept is at the point (1.75, 0).

Next, to find the y-intercept, we set x = 0 in the same equation and solve for y:

y = 4(0) - 7

y = -7

Therefore, the y-intercept is at the point (0, -7).

Answer:

In summary, the x-intercept is at (1.75, 0), and the y-intercept is at (0, -7) for the equation h(x) = 4x - 7.

User Charles Cook
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