Question

Question 3 (1 point)

Given the following equation, find Slope?
2x +2y = 14
m=
a
b
C
d
m=-1
m=-2
m=-3
m=-4

Answer 1

m=−1

Explanation:

Use the slope-intercept form y=mx+b to find the slope m.

Answer 2

a) m = -1

Explanation:

To find the slope of the line represented by the equation 2x + 2y = 14, rewrite the equation in slope-intercept form.

`\boxed{\begin{array}{l}\underline{\textsf{Slope-intercept form of a linear equation}}\\\\y=mx+b\\\\\textsf{where:}\\\phantom{ww}\bullet\;\;\textsf{$m$ is the slope.}\\\phantom{ww}\bullet\;\;\textsf{$b$ is the $y$-intercept.}\\\end{array}}`

Rearrange the given equation to isolate y:

`\begin{aligned}2x + 2y &= 14\\\\2x + 2y -2x&= 14-2x\\\\2y&=-2x+14\\\\(2y)/(2)&=(-2x)/(2)+(14)/(2)\\\\y&=-x+7\end{aligned}`

Now that the equation is in slope-intercept form, we can see that m = -1 and b = 7. Therefore, the slope of the line is:

`\Large\boxed{\boxed{m = -1}}`