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18. State the slope and y-intercept of each linear equations.

a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0

User Mwe
by
7.8k points

1 Answer

2 votes

Answer:

a. The slope is
(-1)/(3) and the y-intercept is 0

b. The slope is
(2)/(3) and the y-intercept is
-(5)/(3)

c. The slope is
(-1)/(2) and the y-intercept is 2

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 = (-1)/(3)x

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

The slope is
(-1)/(3) and the y-intercept is 0

Part b:

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

2x + 2y = 5y + 5

3y = 2x - 5


y = (2)/(3)x - (5)/(3)

Comparing this with general formula, we can conclude that:

The slope is
(2)/(3) and the y-intercept is
-(5)/(3)

Part c:

5x + 10y -20 = 0

10y = -5x + 20


y = (-1)/(2) x+2

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

The slope is
(-1)/(2) and the y-intercept is 2

Hope this helps :)

User Alon Amir
by
8.0k points

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