rAnswer: x-intercept: (-0.75, 0)
y-intercept: (0, 3/7)
Step-by-step explanation: An x and y intercept is the point when the line crosses the x and y axis respectively. When a line crosses the x axis, the y value is 0 and when the line crosses y axis, the x value is 0. This means we can set y and x equal to 0 and solve for the other variable.
To solve for the x intercept, we set y equal 0 so:
-4x + 7(0) = 3
-4x = 3
x = -(3/4)
so we get
(-3/4, 0) or (-0.75, 0) for our x int
For the y intercept we set x equal 0:
-4(0) + 7y = 3
7y = 3
y = 3/7
so we get
(0, 3/7) for our y int