The slope-intercept form of a linear equation is an equation in the form:
![y=mx+b](https://img.qammunity.org/2023/formulas/mathematics/high-school/smsb8cbft03lwblmi49nf2l6jby2ofxzws.png)
Where m is the slope and b is the y-intercept.
Comparing the given equation with the model, we can see that the equation y = -3/4x + 3 is already in the slope-intercept form, where m = -3/4 and b = 3.
The y-intercept is a point in the form (0, b), so the y-intercept in this case is (0, 3).
In order to calculate the x-intercept, we just need to use y = 0, so we have:
![\begin{gathered} 0=-(3)/(4)x+3 \\ (3)/(4)x=3 \\ x=(4)/(3)\cdot3 \\ x=4 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/lbjzph0hfyqnjd2x94wemowmsxbcr3v7sk.png)
So the x-intercept is the point (4, 0).