write the equation in slope intercept form of the line that passes through the point(-3,-2) and is paralell to the line y=4x-3

Answer 1

Slope m of unknown line m = 4. So using point-slope equation of line we have: y - (- 2) = 4(x - (- 3));

y = - 2 + 4x + 12; y = 4x + 10

Answer: y = 4x + 10

Answer 2

The parallel line will have the same slope so it can be written as

y= 4x+b

Since it contains the point (-3,-2) just substitute these x and y values to solve for b

-2 = 4(-3)+b

-2 = -12 + b

b=10

so equation is y=4x+10