Question

24. Write the equation of a line if it is parallel to y = 3x – 4 and goes through (-2,0)

Answer 1

Answer: y = 3x + 6

Step-by-step explanation:

The equation of a straight line can be represented in the slope intercept form as

y = mx + c

Where

m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)

The equation of the given line is

y = 3x - 4

Comparing with the slope intercept form, slope = 3

If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (-2, 0) is 3

To determine the intercept, we would substitute m = 3, x = - 2 and y = 0 into y = mx + c. It becomes

0 = 3 × - 2 + c = - 6 + c

c = 0 + 6 = 6

The equation becomes

y = 3x + 6