Slope-intercept form through the points of (-3, -1) and is parallel to y= 2x -5

Question

What is the slope-intercept form of the equation of the line that passes through the points (-3,-1) and is parallel to y=2x -5

Answer 1

Dear Mara,

    

If we look at the line our answer needs to be parallel to, we can see that it is in slope intercept form. y=2x-5 indicates that the slope is 2/1 (rise over run,) and passes through the y-axis at -5.

 

We can take the point of our new line (-3,-1)and simply use the rise over run to find additional points (i.e. -2,1 -1,3 and 0,5.) From this point, 0,5 we see that the y-intercept is +5 on the y-axis........so the slope intercept formula of our new line would be y=2x+5. Let me know if I can assist you with any more questions.

 

Kieno T.

Answer 2

The slope-intercept of a line is  y=mx+b , where m is slope and b is y-intercept.

 

 

Parallel lines have the same slope.  So the line passing through the point (-3, -1) has a slope of 2.

 

Plug in the values of the coordinate into the slope-intercept from equation to find b.

 

-1 = 2(-3) + b

 

-1 = -6 + b

 

5 = b

 

 

The line you want is

 

y = 2x + 5