Question

Find the slope and y-intercept from the graph.

m=________ b=________

(m is slope)
(b is y-intercept)​

Answer 1

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

_______

Slope formula:
`(y2-y1)/(x2-x1)`

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

= -8/4

= -2

_______

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.

_______

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

y = mx + b

y = -2x + 5

_______

m = -2

b = 5

_______

Best Regards,

Wolfyy :)

Answer 2

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
`(rise)/(run)` 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.