Question

Graph this line using the slope and y-intercept:

Answer 1

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

This is the equation of the line in slope intercept form

where

the slope m is equal to

That means ----> The slope of line rises 2 up and run 1 to the right

---> the y-intercept is the point (0,5)

To graph the line i need minimum two points

I have the y-intercept (0,5)

From the y-intercept (0,5) use the slope to find your next point

The slope is 2, so you will rise 2 (up) and run 1 (to the right).

The next point is (0+1,5+2) -----> (1,7)

Plot the points (0,5) and (1,7)

To graph the line joint the points

see the attached figure

Answer 2

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

$y=2x+5$

This is the equation of the line in slope intercept form

$y=mx+b$

where

the slope m is equal to

$m=2=\frac{2}{1}$

That means ----> The slope of line rises 2 up and run 1 to the right

$b=5$ ---> the y-intercept is the point (0,5)

To graph the line i need minimum two points

I have the y-intercept (0,5)

From the y-intercept (0,5) use the slope to find your next point

The slope is 2, so you will rise 2 (up) and run 1 (to the right).

The next point is (0+1,5+2) -----> (1,7)

Plot the points (0,5) and (1,7)

To graph the line joint the points

see the attached figure