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 [tex]\frac{rise}{run}[/tex] 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: [tex]\frac{y2-y1}{x2-x1}[/tex]
= -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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Wolfyy :)