23.8k views
4 votes
Which line is graphed correctly??

Which line is graphed correctly??-example-1

1 Answer

4 votes

Answer:

the one on the right

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x + 2 ← is in slope- intercept form

with y- intercept c = 2

Both graphs cross the y- axis at 2

Let us consider where they cross the x- axis

the y- coordinate of any point on the x- axis is 0

substitute y = 0 into the equation and slve for x

0 = 2x + 2 ( subtract 2 from both sides )

- 2 = 2x ( divide both sides by 2 )

- 1 = x

the graph on the left crosses the x- axis between - 1 and 0 , not - 1

the graph on the right crosses the x- axis at - 1

The graph on the right is therefore graphed correctly

User Ivaylo
by
9.0k points