Respuesta :

to find the slope, we must put the equation in y = mx + b form, and m represents ur slope.

7x - 2y = 4....subtract 7x from both sides
-2y = -7x + 4 ...now divide both sides by -2
y = (-7/-2)x + (4/-2)
y = 7/2x - 2....now we have it in y = mx + b form, and since m is ur slope, ur slope in this equation is 7/2.
thepingu

Answer:

[tex]\huge\boxed{\text{Slope: } \frac{7}{2}}[/tex]

Step-by-step explanation:

In order to find the slope of this equation, we can convert it into slope-intercept form, where we can find the slope more easily.

Slope intercept form is usually in the form [tex]y=mx+b[/tex], where m is the slope and b is the y-intercept.

Let's algebraically manipulate this problem so we solve for y.

  • [tex]7x - 2y = 4[/tex]
  • [tex]-2y = 4 - 7x[/tex] (Subtract 7x from both sides)
  • [tex]y = -2 + \frac{7}{2}x[/tex] (Divide both sides by -2)
  • [tex]y = \frac{7}{2}x-2[/tex] (Rearrange the equation)

From here, we can now see our equation is [tex]y = \frac{7}{2}x-2[/tex], in the form [tex]y=mx+b[/tex]. Since m is the slope, and [tex]\frac{7}{2}[/tex] is m, our slope is [tex]\frac{7}{2}[/tex].

Hope this helped!

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