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

2 Answers
Jim G.
Jul 30, 2018

#"slope "=7/4," y-intercept "=-1#

Explanation:

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

#•color(white)(x)y=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=7/4x-1larrcolor(blue)"in slope-intercept form"#

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

Jacobi J.
Jul 30, 2018

Slope: #7/4#
#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=7/4x-1#

Now, our equation is in slope-intercept form, with a slope of #7/4# and a #y#-intercept of #-1#.

Hope this helps!

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