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.