Question

17) Write an equation of the line in slope intercept form that passes through the given points in the

table.
x|y
-1 | 20
0|17
1|14
2|11
3|8

Answer 1

y = - 3x + 17

Explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (0, 17) and (x₂, y₂ ) = (3, 8) ← 2 ordered pairs from the table

m =
`(8-17)/(3-0)` =
`(-9)/(3)` = - 3

the ordered pair (0, 17 ) is where the line crosses the y- axis ⇒ c = 17

y = - 3x + 17 ← equation of line