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

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

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)  

a variable is any characteristics, number, or quantity that can be measured or counted. a variable may also be called a data item. hope i !