PLEASE HELP WITH MATH PROBLEM +10 ASAP THANK YOU!?

.....y2 - y1

m=------------

.....x2 - x1

...7/5 - 8/5

=---------------- = - 1/5

....4/5 - (-1/5)

(a) slope- intercept for

y = mx + b

8/5 = (-1/5)(-1/5) + b

8/5 = 1/25 + b

b = 8/5 - 1/25

b = 39/25

equation of the line is slope- intercept form y = -1/5x + 39/25.. answer//

(b) standard form

Ax + By = C

[y = -1/5x + 39/25]25

25y = - 5x + 39

5x + 25y = 39 answer//

slope = (y1 - y2)/(x1 - x2) in which (x1, y1) and (x2, y2) are two points the line passes through. It doesn't matter which point is point 1 and which is point 2.

slope = m = (8/5 - 7/5)/(-1/5 - 4/5) = (1/5)/(-5/5) = -1/5

Likewise, slope = (7/5 - 8/5)/(4/5 - -1/5) = (-1/5)/1 = -1/5

Substitute either of the points for (x1, y1) and slope for m in

y - y1 = m(x - x1)

y - 7/5 = -1/5(x - 4/5)

y - 7/5 = -1/5x + 4/25

y = -x/5 + 39/25...slope intercept form

y + x/5 = 39/25

25y + 5x = 39...standard form

y=-1/5x+39/25