Respuesta :

Answer:

the answer is b

Step-by-step explanation:

they should have the same slope so just looking at that you cancel out d. But since it says has a y-intercept of 1 then it would cancel out the other 2. d is perpendicular to it not parallel

Answer:

b. [tex]y=5x+1[/tex]

Step-by-step explanation:

Slope-intercept form:

[tex]y=mx+b[/tex]

  • m is the slope
  • b is the y-intercept
  • x and y are the corresponding coordinate points (x,y)

When two lines are parallel, their slopes are the same. Note the slope of the given equation:

[tex]y=5x+7\\\\m=5[/tex]

The slope is 5, so the slope for the parallel equation will also be 5:

[tex]y=5x+b[/tex]

Now insert the given y-intercept:

[tex]b=1\\\\y=5x+1[/tex]

:Done