Question

What is the equatipn of the linear graph?
(-4, 6).
(1, -9)

Answer 1

y = -3x - 6

Explanation:

first, find the slope

(-4, 6)

(1, -9)

remember the equation for the slope

`(y_(2)-y_(1))/(x_(2) - x_(1)) }`

insert given points

`x_(1) = -4\\y_(1) = 6\\\\x_(2) = 1\\y_(2) = -9`

((-9) - (6)) / ((1) - (-4))

simplify

( -9 - 6) / (1 + 4)

= -15/ 5

= -3

now insert it into the equation of the line

remember, the equation of the line is

y = mx + b

where "m" is the slope

and "b" is the y-intercept

to find "b", you just have to plug in a point that is found on the line

we know that (-4, 6) and (1. -9) is found on the line, so let's just use (-4, 6) for this problem

y = mx + b

substitute in the slope of this line

y = -3x + b

now substitute in the given points

6 = -3 * -4 + b

and solve it like any algebra problem, by inverse operations and simplifying

6 = 12 + b

-12 -12

-6 = b

so the equation of the line is

y = -3x -6