In the standard (x, y) coordinate plane, what is the slope of the line with equation 7y - 3x = 21?

2 Answers
Nov 27, 2017

See a solution process below:

Explanation:

We can rewrite this equation in standard form. The standard form of a linear equation is: Ax+By=C

Where, if at all possible, A, B, and Care integers, and A is non-negative, and, A, B, and C have no common factors other than 1

3x+7y=21

1(3x+7y)=1×21

(1×3x)+(1×7y)=21

3x+(7y)=21

3x+7y=21

The slope of an equation in standard form is: m=AB

Substituting gives:

m=37=37

Nov 27, 2017

Slope=m=37

Explanation:

7y3x=21

This equation is in standard form ax+by=c

To find the slope of the equation, we want the equation in slope-intercept from y=mx+b where m is the slope

Begin by rearranging the equation to equal y

7y3x=21

3x is being subtracted, so perform the opposite operation of addition to get 3x on the other side of the equation

7y=3x+21

Isolate y by dividing the opposite side of the equation by 7

7y=3x+21

7y7=3x7+217

y=37x+3

Now the equation is in slope-intercept form

y=37x+3

y=mx+b

Remember, m is the slope

Slope=m=37