Home > Algebra > Intercepts by Substitution

How do you find the x and y intercepts for #y = -2x + 3#?

Answer 1

Julia Adams

#"x-intercept "=3/2," y-intercept "=3#

#"to find the intercepts"#

#• " let x = 0, in the equation for y-intercept"#

#• " let y = 0, in the equation for x-intercept"#

#x=0rArry=0+3=3larrcolor(red)"y-intercept"#

#y=0rArr-2x+3=0rArrx=3/2larrcolor(red)"x-intercept"# graph{-2x+3 [-10, 10, -5, 5]}

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

Answer 2

Hazel Anglin

see a step solution process below;

#y = - 2x + 3#

Since the origin point of intersection is always zero, hence we would use its origin point to locate their intercepts.

To find the intercept of #x#, let #y = 0#

#y = -2x + 3#, where #y = 0#

#0 = -2x + 3#

#2x = 3#

#x = 3/2 = 1.5#

Similarly, to find the intercept of #y#, let #x = 0#

#y = -2x + 3#, where #x = 0#

#y = -2(0) + 3#

#y = 0 + 3#

#y = 3#

Hence the #x and y# intercepts of the equation are #1.5 and 3# respectively..

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

Answer 3

Ethan Adkins

To find the x-intercept, set y equal to zero and solve for x. To find the y-intercept, set x equal to zero and solve for y. For the given equation y = -2x + 3, the x-intercept is (1.5, 0) and the y-intercept is (0, 3).

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.