Question

Find the y-intercept of each line defined below and compare their values.

Equation of Line A:
5
y - 10 = (x+6)
6
Select values from Line B:
X
-1
0
1
Y
0
2
4
The y-intercept of Line A is
Therefore the y-intercept of Line A is
and the y-intercept of Line B is
the y-intercept of Line B.

Answer 1

The y-intercept of Line A is 5 and the y-intercept of Line B is 2. Therefore, the y-intercept of Line A is greater than the y-intercept of Line B.

Explanation:

The y-intercept of Line A can be found by setting x to 0 in the equation of the line and solving for y.

y - 10 = -5/6(x + 6)

y - 10 = -5/6(0 + 6)

y - 10 = -5

y = 5

Therefore, the y-intercept of Line A is 5.

For Line B, we can use the given values to find the slope of the line and then use the point-slope form of the equation of a line to find the y-intercept.

First, we can find the slope of Line B using the given points:

slope = (y2 - y1) / (x2 - x1)

slope = (4 - 0) / (1 - (-1))

slope = 4 / 2

slope = 2

Next, we can use the point-slope form of the equation of a line to find the y-intercept:

y - y1 = m(x - x1)

y - 4 = 2(x - 1)

y - 4 = 2x - 2

y = 2x + 2

Therefore, the y-intercept of Line B is 2.

The y-intercept of Line A is 5 and the y-intercept of Line B is 2. Therefore, the y-intercept of Line A is greater than the y-intercept of Line B.