Question

the line below passes through the points (-2,-4) and (3,5) which of these equations best represents a line parallel to the line in this graph . The equations are y = 9x/2 + 4y = 4x/3 + 4y = 1x + 4y = 9x/5 + 4

Answer 1

The given line passed through the points, (- 2, - 4) and (3, 5). The first step is to find the slope of the line by applying the formula for determining slope which is expresseed as

Slope = (y2 - y1)/(x2 - x1)

From the points given,

x1 = - 2, y1 = - 4

x2 = 3, y2 = 5

Slope = (5 - - 4)/(3 - - 2) = (5 + 4)/(3 + 2)

Slope = 9/5

If two lines are parallel, it means that they have the same slope

Looking at the options, the equation that has the same slope as the given line is

y = 9x/5 + 4

Thus, the correct option is the fourth one