Question

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

Answer 1

Slope = 5/2

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

Answer 2

Final answer is slope
`m=(5)/(2)`

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=(-5x+7)/(-2)`

`y=(5)/(2)x-(7)/(2)`

Now comparing with y=mx+b, we get
`m=(5)/(2)`

Hence final answer is slope
`m=(5)/(2)`