Question

Find the slope of the line. 5x – 2y = 7

Answer 1

Answer:

Final answer is slope $m=\frac{5}{2}$

Step-by-step explanation:

Given equation is $5x-2y=7$

Now question says to find the slope.

Since given equation $5x-2y=7$ is a linear equation so we need to compare $5x-2y=7$ with slope intercept formula $y=mx+b$ to get the value of slope m.

Since $5x-2y=7$ is not in that form so first let's rewrite it in y=mx+b form

$5x-2y=7$

$-2y=-5x+7$

$y=\frac{-5x+7}{-2}$

$y=\frac{5}{2}x-\frac{7}{2}$

Now comparing with y=mx+b, we get $m=\frac{5}{2}$

Hence final answer is slope $m=\frac{5}{2}$

Answer 2

Answer:

Slope = 5/2

Step-by-step explanation:

It is given an equation of line  5x – 2y = 7

To find the slope of equation we have to rewrite this equation in y = mx + c form

To convert the given equation to y = mx + c

The given equation is

 5x – 2y = 7

⇒ 5x + 7 = 2y

⇒ 2y = 5x + 7

⇒ y = (5x + 7)/2

y = 5x/2 + 7/2

The above equation is of the form y = mx + c

Here slope = m = 5/2