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

2 answers:

7 0

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.

borishaifa [10]3 years ago

6 0

Answer:

$\huge\boxed{\text{Slope: } \frac{7}{2}}$

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 $y=mx+b$ , 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)
$y = -2 + \frac{7}{2}x$ (Divide both sides by -2)
$y = \frac{7}{2}x-2$ (Rearrange the equation)

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