What is the slope, y intercept, and equation from this table.

Step-by-step explanation:

To find the slope, we need to use the formula m=(y2-y1)/(x2-x1).

Now we plug in 2 numbers from your table:

(85-61)/(6-3)

24/3

8

m=8

Now let's use point-slope formula to find our equation. A point on the line is (3,61) so we can use that. When we plug it in it looks like this:

y-61=8(x-3)

Distribute the 8:

y-61=8x-24

Add 24 to both sides:

y-37=8x

Add 37 to both sides:

y=8x+37

Now our equation is in slope-intercept form. Therefore, the y intercept is 37.

HTH :)

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is