The graph intersects the x-axis at (7/4, 0) and the y-axis at (0, 7).
A slope intercept graph is the graph of a linear equation and it takes the form y = mx + b. The x-intercept is where the graph intersects with the x-axis and the y-intercept is where the graph intersects with the y-intercepts.
From the given information.
y = -3x + 7
here:
To determine the x-intercepts, we set the value of y to be equal to zero.
0 = -3(x) + 7
3x = 7
x = 7/3
The graph can be seen in the image attached below and the graph intersects the x-axis at (7/4, 0) and the y-axis at (0, 7).
Learn more about the intercepts of the slope-intercept graphs here:
https://brainly.com/question/1884491
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