1. Use point-slope form to write the equation of a line that has a slope of 2/3 and passed through (-3,-1). Write your final equation in slope-intercept form. Is the answer y=2/3+-1

2. Write an equation of the line that passed through (2,-1) and is parallel to the graph of y= 5x-2. Write your final equation in slope-intercept form. I can't figure out this question.

3. Write an equation of the line that passes through (3,5) and is perpendicularto the graph of y= -3x+7. Write your final equation in slope-intercept form,
This one is hard for me too, please I just need a little help.
Thank you for your time

1 answer

1) (Y+1)= 2/3 *(x+3)
y=2/3 x +1

2) slope 5
y=5x+b put in the point (2,-1) and solve for b.

3. perpendicular: slope is neg reciprocal, or 1/3
y=1/3 * x + b Put in (3,5) and solve for b.