How do you find the slope and intercept of 7x−4y=4?

2 Answers
Jim G.
Jul 30, 2018

slope =74, y-intercept =−1

Explanation:

the equation of a line in slope-intercept form is.

∙xy=mx+c

where m is the slope and c the y-intercept

Rearrange 7x−4y=4 into this form

subtract 7x from both sides

−4y=−7x+4

divide all terms by −4

y=74x−1←in slope-intercept form

with slope =74 and y-intercept =−1

Jacobi J.
Jul 30, 2018

Slope: 74
y-intercept: −1

Explanation:

We can easily put this into slope-intercept form

y=mx+b, with slope m and a y-intercept of b.

We essentially want just a y on the left. Let's subtract 7x from both sides to get

−4y=−7x+4

Next, divide both sides by −4 to get

y=74x−1

Now, our equation is in slope-intercept form, with a slope of 74 and a y-intercept of −1.

Hope this helps!

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