Question

Please helpp

2. A line goes through the points {8, 9} and {-2. 4}.
(a) What is the slope of the line? Show all steps of work for full credit. (2 pts)





(b) Write the equation of the line in point-slope form. Show your work (state the point and slope you are using). (2 pts)
POINT (Ordered Pair): ¬¬¬_______________
SLOPE:_______________
EQUATION:____________________________

(c) Write the equation of the line in slope-intercept form. Show all steps of work for full credit. (2 pts)

Answer 1

a)

`(2)/(5)`

b)

Explanation:

slope formula

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

`(4 - 9)/( - 2 - 8)`

=

`(2)/(5)`

b) using point (-2,4)

`y - y1 = m(x - x1)`

`y - 4 = (2)/(5) (x - ( - 2)`

Now distribute

`y - 4 = (2)/(5) x + (4)/(5)`

add 4 to each side

`y = (2)/(5) x + (24)/(5)`

can use the other point given if you want