Mathematics: Whats this i have been struggling for this . 5(3x−2)=−x−10

Whats this i have been struggling for this . 5(3x−2)=−x−10

dondre54

11.03.2020

a. The slope is $\frac{-1}{3}$ and the y-intercept is 0

b. The slope is $\frac{2}{3}$ and the y-intercept is $-\frac{5}{3}$

c. The slope is $\frac{-1}{2}$ and the y-intercept is 2

Step-by-step explanation:

The easiest way to find the slope and y-intercept is to put each equation in the slope-intercept form

That is:

y = mx = c

where m is the slope and c is the y-intercept

Part a:

6(x+y) = 3(x-y)

2(x+y) = x-y

2x + 2y = x - y

3y = -x

$y = \frac{-1}{3}x$

Comparing this with the general formula, we can conclude that:

The slope is $\frac{-1}{3}$ and the y-intercept is 0

Part b:

2(x+y) = 5(y+1)

2x + 2y = 5y + 5

3y = 2x - 5

$y = \frac{2}{3}x - \frac{5}{3}$

Comparing this with general formula, we can conclude that:

The slope is $\frac{2}{3}$ and the y-intercept is $-\frac{5}{3}$

Part c:

5x + 10y -20 = 0

10y = -5x + 20

$y = \frac{-1}{2} x+2$

Comparing this with the general formula, we can conclude that:

The slope is $\frac{-1}{2}$ and the y-intercept is 2

Hope this helps :)

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