Question

What are the intercepts of `-4y+2x=3`?

Answer 1

x-intercept `=3/2`
y-intercept `=-3/4`

Explanation:

This is a linear equation. That is, the equation of a straight line.

When this line crosses the x-axis- the x-intercept, the corresponding y-coordinate at this point will be zero. Substitute y = 0 into the equation to obtain x-intercept.

`rArry=0 " gives " 0+2x=3rArrx=3/2`

Similarly, when the line crosses the y-axis- the y-intercept, the corresponding x-coordinate will be zero. Substitute x = o into equation to obtain y-intercept.

`rArr-4y+0=3rArry=3/(-4)=-3/4`
graph{.5x-.75 [-10, 10, -5, 5]}