Question

NEED HELP ASAP!!!!!

a. When x = -1, what is the value of y?
Continue on the following page.
b. When y = 7, what is the value of x?
c. What is the y-intercept of the graph?
d. What is the x-intercept of the graph?
e. What is the slope of the line?
f. What is the equation of the line?

Answer 1

a. y = 3

b. x = 1

c. y-intercept = 5

d. x-intercept = -2.5

e. 2

f. y = 2x + 5

Explanation:

Based on the graph, we can see the point where x is -1, y = 3.

Based on the graph, we can see the point where y = 7, x = 1.

Based on the graph, we can see the y-intercept is 5.

Based on the graph, we can see the x-intercept is -2.5.

To calculate the slope of the line, I will be using the points (-1, 3) and (0, 5).

Slope =
`(rise)/(run)`

=
`(5-3)/(0-(-1))`

=
`(2)/(1)`

= 2

The equation of a line is: y = mx + c where m is the slope and c is the y-intercept. Thus, the equation of the line in this case is: y = 2x + 5