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

well I'll do part 1 and you can do the rest

point slope form is

\[y - y_{1} = m (x - x_{1})\]

so substituting you have

y - (-2) = 2(x - 3)

which becomes

y + 2 = 2(x -3)

hope this helps.

for the slope intercept form you want an equation in the form

y = mx + b

just distribute the right hand side and then subtract 2