Question

Write the equation of the line through the point (2,1) and parallel to the equation y=3x+4

Answer 1

y = 3x - 5

Explanation:

The equation is given in the form

y = 3x + 4

that is

y = mx + b

So, we can say:

m = 3

This is the slope (m).

Parallel lines have equal slopes, so we can say the line parallel will have the equation:

y = 3x + b

We are given that it passes through (2,1), so we plug in respective values of x and y and solve for b:

y = 3x + b

1 = 3(2) + b

1 = 6 + b

b = 1 - 6

b = -5

So, the equation is:

y = 3x - 5