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Answer:

Step-by-step explanation:

on the y- axis go down to -7 and mark a point. Then since your slope is 8, from that point go up 8 units and over to the right one and graph your other point. draw a line.

The line will be  [tex]y = 8x - 7[/tex]  . Its graph is shown below.

Given that:

  • The line has slope = 8
  • The given line has y-intercept = -7
  • To do: Graphing the line

Formation of equation of the line and graphing it:

A straight line with the slope m and y-intercept as c is written as:

[tex]y = mx + c[/tex]

Thus, for given slope and intercept, the equation of the considered straight line will be:

[tex]y = 8x - 7[/tex]

To graph a straight line, we only need to find coordinates of two different points on the line.

Let x = 1, then:

[tex]y = 8 \times 1 - 7 = 8 - 7 = 1[/tex]

Thus, first point is on coordinate (x = 1, y = 1) or (1,1)

Let x = 0, then:

[tex]y = 8 \times 0 - 7 = -7[/tex]

Thus, second point is on coordinate (x = 0, y = -7) or (0,-7)

Now plot those points on graph paper and join those points with a straight line. That straight line is the graph of the line [tex]y = 8x - 7[/tex]

The plotted graph of the line [tex]y = 8x - 7[/tex]  is given below.

Learn more about linear equations (the equations of straight lines) here:

https://brainly.com/question/7041535

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