Home > Algebra > Slope-Intercept Form

How do you express the following equation in slope-intercept form: #7x - 5y = 10#?

Answer 1

Genesis Allen

#y = mx + c# where #m# is the Slope of that line, and #c# is the Y intercept

To have just #y# on the Left Hand Side, we divide both sides by #-5#

#(cancel(-5)y)/cancel(-5) = (-7x)/-5 + 10/-5#

#color(green)(y = (7/5)*x - 2# is the Slope Intercept form of #7x−5y=10#

The Slope is #7/5# and the Y intercept is #-2#

This is how the graph will appear:

graph{y=(7x/5)-2 [-5, 5, 10, 10]}

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

Answer 2

Julia Adams

To express the equation 7x - 5y = 10 in slope-intercept form, isolate y on one side of the equation. First, subtract 7x from both sides to get -5y = -7x + 10. Then, divide both sides by -5 to solve for y, resulting in y = (7/5)x - 2.

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.