Question

Find an equation of a line parallel to the line y = 3x – 3 that contains the point (6,4).

Write the equation in slope-intercept form.

Answer 1

#First u find the gradient first, remember that the formula of equation of the line is y=mx + c

y = 3x - 3

so the gradient (m) is 3

#Now u find the equation of the line

y - y1 = m(x - x1)

y - 4 = 3(x - 6)

y - 4 = 3x - 18

y = 3x - 18 + 4

y = 3x - 14

Answer : y = 3x - 14