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

##### 2 Answers

#### 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#

Slope:

#### Explanation:

We can easily put this into slope-intercept form

We essentially want just a

Next, divide both sides by

Now, our equation is in slope-intercept form, with a slope of

Hope this helps!