How do you find the slope and intercept of 7x-4y=47x−4y=4?

2 Answers
Jim G.
Jul 30, 2018

"slope "=7/4," y-intercept "=-1slope =74, y-intercept =−1

Explanation:

"the equation of a line in "color(blue)"slope-intercept form"the equation of a line in slope-intercept form is.

•color(white)(x)y=mx+c∙xy=mx+c

"where m is the slope and c the y-intercept"where m is the slope and c the y-intercept

"Rearrange "7x-4y=4" into this form"Rearrange 7x−4y=4 into this form

"subtract "7x" from both sides"subtract 7x from both sides

-4y=-7x+4−4y=−7x+4

"divide all terms by "-4divide all terms by −4

y=7/4x-1larrcolor(blue)"in slope-intercept form"y=74x−1←in slope-intercept form

"with slope "=7/4" and y-intercept "=-1with slope =74 and y-intercept =−1

Jacobi J.
Jul 30, 2018

Slope: 7/474
yy-intercept: -1−1

Explanation:

We can easily put this into slope-intercept form

y=mx+by=mx+b, with slope mm and a yy-intercept of bb.

We essentially want just a yy on the left. Let's subtract 7x7x from both sides to get

-4y=-7x+4−4y=−7x+4

Next, divide both sides by -4−4 to get

y=7/4x-1y=74x−1

Now, our equation is in slope-intercept form, with a slope of 7/474 and a yy-intercept of -1−1.

Hope this helps!

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