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)

Respuesta :

Answer:

a)

[tex] \frac{2}{5} [/tex]

b)

Step-by-step explanation:

slope formula

[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]

[tex] \frac{4 - 9}{ - 2 - 8} [/tex]

=

[tex] \frac{2}{5} [/tex]

b) using point (-2,4)

[tex]y - y1 = m(x - x1)[/tex]

[tex]y - 4 = \frac{2}{5} (x - ( - 2)[/tex]

Now distribute

[tex]y - 4 = \frac{2}{5} x + \frac{4}{5} [/tex]

add 4 to each side

[tex]y = \frac{2}{5} x + \frac{24}{5} [/tex]

can use the other point given if you want