Question

Please help 100 points

Answer 1

In a slope-intercept form, m stands for the slope, and b for the y-intercept. Given the coordinates of two points on the line, use the slope formula to determine the slope of the line. The slope formula is the quotient of the difference in y-values and the difference in x-values. The point where a graph crosses the y-axis is known as the y-intercept.

Answer 2

Y = (-2/3)x +7

Explanation:

First we have to find the slope (m):

the equation for that is

`m= (y2-y1)/(x2-x1)`

(0, 7) (3, 5)

(x1, y1) (x2, y2)

plug it in

`(5-7)/(3-0) =(-2)/(3)`

now that we have m we plug in what we have:

`y=(-2)/(3) x+b`

to find b we pick any of the two points, I will pick (0,7), and we substitute that point into our equation:

`7= (-2)/(3)*0+b`

now we solve for b

b=7

now we plug it all in:

`y= (-2)/(3)x +7`

hope that helps :)