Question

The line L is shown on the grid. Find an equation for L. Give your answer in the form y=mx+c

Answer 1

Answer:

y=4x-5

Step-by-step explanation:

y=mx+b,

You can identify that the y-intercept is -5.

Using rise/run, there is a rise of +4 and a run of +1, 4/1=4.

Slope = 4

Y-intercept=-5

Answer 2

Slope-intercept form of equation of line is, y = mx + c

Equation of line L is,  y = 5x - 5

From given figure, it is observed that line L is passing through point (0, -5) and (1, 0).

 First we have to find slope (m) of line.

                       $m=\frac{0-(-5)}{1-0} =5$

So, equation of line becomes,

                           $y=5x+c$

Since, line passing through (1, 0). Therefore, substituting point (1, 0) in above equation of line.

We get,     c = - 5

Thus, equation of line is,  $y=5x-5$

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