Free points h-have a good day

If you draw the graph of an equation, the 'intercepts' are the places where the graph crosses the x- and y- axes.

The whole secret to finding these is just simply remembering ...

-- The x-intercept is a point on the x-axis, so y=0 there.

Do you want to find the x-intercept of an equation ?  Set y=0 and solve the equation for x .

-- The y-intercept is a point on the y-axis, so x=0 there.

Do you want to find the y-intercept of an equation ?  Set x=0, and solve the equation for y .

I'll do a couple of them, and then you'll have everything you need to do the others.

a.  5x - y + 3 = 0

To find the x-intercept, set y=0:  5x + 3 = 0

Solve this equation for x:  5x = -3, x = -3/5, the x-intercept is (-3/5, 0)

To find the y-intercept, set x=0:  -y + 3 = 0

Solve this equation for y:  y=3, the y-intercept is (0, 3)

d.  y = 2x - 3

To find the x-intercept, set y=0:  2x - 3 = 0

Solve this equation for x:  2x=3, x = 3/2, the x-intercept is (3/2, 0)

To find the y-intercept, set x=0:  y = -3,  the y-intercept is (0, -3)

There's the work and the steps.  You should be able to sail through the others now.