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

Question

Equation of Line A:
Equation of Line A:
​

y, equals, start fraction, 3, divided by, 2, end fraction, x, plus, 3
y=
2
3
​
x+3

Select values from Line B:
​x: 0 1 2 3 y: -3 -2 -1 0

Answer 1

To find the y-intercept of a line, we set x equal to 0 in the equation of the line and solve for y.

For Line A, the equation is y = (3/2)x + 3.
Setting x = 0, we have y = (3/2)(0) + 3.
Simplifying, y = 0 + 3 = 3.
Therefore, the y-intercept of Line A is 3.

For Line B, we are given the values of x and y in a table.
When x = 0, y = -3.
Therefore, the y-intercept of Line B is -3.

Comparing the values, we see that the y-intercept of Line A is 3 and the y-intercept of Line B is -3.