Question

Write the equation of this line in Slope-Intercept Form (Y = mX + b). Find the slope by using Rise/Run; then look at the graph to see what the y-intercept is; then put it all into the equation form.

a
y = -4/3(x) - 1
b
y = -3/4(x) - 1
c
y = 4/3(x) - 1
d
y = 3/4(x) - 1

Answer 1

The calculated equation of the line represented by the graph is d. y = 3/4x - 1

How to determine the equation of the line

The following parameters can be derived from the question and used in our computation:

The graph

By definition, we have that a linear equation takes the form

y = mx + c

Where

m = slope and c = y-intercept

The slope is calculated as

m = rise/run

Using the points (0, -1) and (4, 2), we have

rise = 2 - (-1) = 3

run = 4 - 0

So:

m = 3/4

The y-intercept is the point on the graph where it crosses the y-axis

So, we have

c = -1

Recall that the form of the equation is

y = mx + c

And we have the slope and intercept to be

m = 3/4 and c = -1

So y = mx + c becomes

y = 3/4x - 1

Hence, the equation of the line is d. y = 3/4x - 1