Question

Write an equation in slope-intercept form for the line that passes through (-3,1) and is parallel to y= 2x-4

Answer 1

First, you need to use point slope form, y-y1=m(x-x1). Use the same slope for the new equation for the one in the old. Then, you need to manipulate the equation to get y=2x+7.

Answer 2

equation for slope intercept form is
y-y1=m(x-x1)
where m is slope and (x1,y1) are coordinate points
here (-3,1) are points we take
y-1=m(x+3)
to find the value of m we know this line is parallel to line y=2x-4

here m=2
so put this m into first equation
y-1=2(x+3) (parallel lines have same slope)
this is the required equation y-1=2(x+3)