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.