Question

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

Answer 1

Answer:

y = -3x - 6

Step-by-step explanation:

first, find the slope

(-4, 6)

(1, -9)

remember the equation for the slope

$\frac{y_{2}-y_{1}}{x_{2} - x_{1}} }$

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