Question

consider the line that passes through the point (3, -2) and has a slope of 2. part 1: write the equation of this line using point-slope form. (2 points) part 2: using your equation from part 1, rewrite this equation in slope-intercept form. make sure to show all of your work. (2 points) part 3: using your equation from part 2, rewrite this equation in standard form. make sure to show all of your work. (2 points)

Answer 1

y-y1=m(x-x1)
where slope=m
and
(x1,y1) is a given point

slope is 2
point is (3,-2)
y-(-2)=2(x-3)
y+2=2(x-3)

part 1: y+2=2(x-3)

part 2:
slope-int form is y=mx+b
solve for y
y+2=2x-6
minus 2
y=2x-8

part 3
standard form is ax+by=c
y=2x-8
minus 2x fromboth sides
-2x+y=-8 or
times -1
2x-y=8