Find the slope and y-intercept from the graph.

m= b=

(m is slope)
(b is y-intercept)

Step-by-step explanation: In algebra, we use the word slope to describe how steep a line is. Slope can be found using the ratio between any two points that are on that line.

To get from one point on the graph to another point, we would rise 2 units which means go up to units and run -1 unit or go across 1 unit to the left.

The variable that is used to represent slope is m. So for this line we would say that m = -2

The base b represents the y-intercept of the line. The of the base as how far we are going up or down on the y-axis. Since we go up 5 units on the y-axis, we have a base of 5 so b = 5.

Remember, slope = rise/run.

We can use the points (-1, 7) and (3, -1) to solve.

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Slope formula:

= -1-7/3-(-1)

= -8/4

= -2

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The y-intercept is given in the line but let's solve just to check.

y = mx + b

7 = -2(-1) + b

7 = 2 + b

7 - 2 = 2 + b - 2

5 = b

Now, we can see that y-intercept is 5.

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After solving for both the slope and y-intercept we can put this into slope-intercept form.

y = mx + b

y = -2x + 5

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m = -2

b = 5

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