Question

Write the equation of a line in slope-intercept form passing through (4, 5) and (6, 8)
A. y equals two-thirds x plus seven-thirds
B. y equals three-halves x plus 11
C. y equals three-halves x minus 1
D. y equals three-halves minus 8

Answer 1

First we find the slope using the formula:
m= y2-y1/x2-x1
where y2=8 y1=5
x2=6 and x1=4

Solve for m.
8-5 3
m=----- = ---
6-4 2

y=mx+b
5=(3/2)(4) + b (Substitute m, x, and y)
5 = 12/2 +b (Solve for b.)
5 = 6 +b
5-6 = b
-1 = b

y=3/2x -1 (Rewrite the equation.)

Answer 2

thanks

Answer 3

np :)