Answer:
a. The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
b. The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
c. The slope is [tex]\frac{-1}{2}[/tex] 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
[tex]y = \frac{-1}{3}x[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
Part b:
2(x+y) = 5(y+1)
2x + 2y = 5y + 5
3y = 2x - 5
[tex]y = \frac{2}{3}x - \frac{5}{3}[/tex]
Comparing this with general formula, we can conclude that:
The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
Part c:
5x + 10y -20 = 0
10y = -5x + 20
[tex]y = \frac{-1}{2} x+2[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2
Hope this helps :)
