Question

Find the equation of the line parallel to y=3x+4 and that passes through the point (-5,4)

Answer 1

Answer: y = 3x +19

Explanation:

-Parallel lines have the same gradient

y = 3x + c

rearrange to give c= y - 3x

substitute x = -5 and y = 4

c = 3 - (3x-5)

c= 19

so the equation is y = 3x + 19

Answer 2

y = 3x + 19

Explanation:

Equation of line in slope y-intercept form: y = mx +b

Here m is the slope and b is the y-intercept.

y = 3x + 4

m = 3

Parallel lines have same slope.

m = 3

y = 3x + b

Substitute (-5,4) in the above equation.

4 = 3*(-5) + b

4 = -15 + b

4 + 15 = b

b = 19

Equation of the line: y = 3x + 19