Home > Algebra > Intercepts and the Cover-Up Method

What are the intercepts of #2x-3y=-7#?

Answer 1

x-intercept: #-7/2=-3 1/2#

y-intercept: #7/3 = 2 1/3#

The x-intercept is the value of #color(blue)(x)# when #color(red)(y=0)# #color(white)("XXX")2color(blue)(x)-3(color(red)(0))=-7#

#color(white)("XXX")2color(blue)(x)=-7#

#color(white)("XXX")color(blue)(x)=-7/2#

The y-intercept is the value of #color(red)(y)# when #color(blue)(x=0)# #color(white)("XXX")2(color(blue)(0))-3(color(red)(y))=-7#

#color(white)("XXX")-3(color(red)(y))=-7#

#color(white)("XXX")color(red)(y) = 7/3#

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

Answer 2

Savannah Anderson

To find the intercepts of the equation (2x - 3y = -7), we can set one variable equal to zero at a time and solve for the other variable.

For the x-intercept (where the line crosses the x-axis), we set (y = 0): [2x - 3(0) = -7] [2x = -7] [x = -\frac{7}{2}]

For the y-intercept (where the line crosses the y-axis), we set (x = 0): [2(0) - 3y = -7] [-3y = -7] [y = \frac{7}{3}]

Therefore, the x-intercept is ((-7/2, 0)) and the y-intercept is ((0, 7/3)).

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.