Home > Algebra > Intercepts by Substitution

How do you find the x and y intercepts for #y=-5x+10#?

Answer 1

x-intercept = 2 , y-intercept = 10

This is the equation of a straight line. When this line crosses the x-axis , the y-coord will be zero. By letting y = 0 and substituting into the equation , we will obtain the x-intercept.

y = 0 : -5x + 10 = 0 → -5x = - 10 → x = 2

Similarly for when the line crosses the y-axis , the x-coord will be zero. Let x = 0 to find y-intercept.

x = 0 : y = 10

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Eva Abramson

To find the x-intercept, set ( y = 0 ) and solve for x. To find the y-intercept, set ( x = 0 ) and solve for y. For ( y = -5x + 10 ), the x-intercept is (2, 0) and the y-intercept is (0, 10).

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.