Graph the line that passes through the points (−5,1) and (5,−7) and determine the equation of the line.

Note: this answer assumes that it can be written in point-slope form.

Equation:

Graph is attached below.

Step-by-step explanation:

1) First, find the slope of the two lines using the slope formula, . Use the x and y values of the two points given and solve:

Therefore, the slope is .

2) Next, use the point-slope formula to write the equation. The represents the slope of the line, so substitute for

Therefore, is the equation of the line.

3) To graph the equation, you can just plot the points (-5,1) and (5,-7) and draw a line with arrows passing through them. After all, you only need two points to graph a line. The graph is attached below.

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2