Respuesta :

lublana

Answer:

Final answer is slope [tex]m=\frac{5}{2}[/tex]

Step-by-step explanation:

Given equation is [tex]5x-2y=7[/tex]

Now question says to find the slope.

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

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

[tex]5x-2y=7[/tex]

[tex]-2y=-5x+7[/tex]

[tex]y=\frac{-5x+7}{-2}[/tex]

[tex]y=\frac{5}{2}x-\frac{7}{2}[/tex]

Now comparing with y=mx+b, we get [tex]m=\frac{5}{2}[/tex]

Hence final answer is slope [tex]m=\frac{5}{2}[/tex]

imlittlestar

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

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