Question

Find the slope of the line whose equation is 7x-2y=4

Answer 1

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.

Answer 2

`\huge\boxed{\text{Slope: } (7)/(2)}`

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
`y=mx+b`, where m is the slope and b is the y-intercept.

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

• 
  `7x - 2y = 4`
• 
  `-2y = 4 - 7x` (Subtract 7x from both sides)
• 
  `y = -2 + (7)/(2)x` (Divide both sides by -2)
• 
  `y = (7)/(2)x-2` (Rearrange the equation)

From here, we can now see our equation is
`y = (7)/(2)x-2`, in the form
`y=mx+b`. Since m is the slope, and
`(7)/(2)` is m, our slope is
`(7)/(2)`.

Hope this helped!