parallel to y=2x-5 passes through (-2,1)

Question

write an equation in slope-intercept form

Answer 1

This equation is in the slope-intercept form y=mx+b where m is the slope and b is the y-intercept.

y=2x-5 has slope m=2 and the y-intercept b=-5.

Any line parallel to it will have the same slope of 2. If it passes through the points ( (-2,1), the equation of the line will be in the form
y-y₁=m(x-x₁).

i.e. y-1=2(x+2)
y-1=2x+4
2x-y+5=0

Answer 2

If it's parallel, then the slope is 2.  And then you can plug in the given point to solve for the y-intercept b.  We use the equation y-mx+b, which is the slope intercept form.  m is the slope.