Question

Help meeee please !! thank you

Answer 1

The equation of a line passing through two points that is (-2 , 11) and (1 , -4) is equal to f(x) = -5x + 1.

What is the point slope form of a line ?

Point slope form is used to represent a straight line using its slope and a point on the line.

A line is passing through two points that is (-2 , 11) and (1 , -4).

These points can be represented by :

($x_{1}$ , $y_{1}$) = (-2 , 11)

($x_{2}$ , $y_{2}$) = (1 , -4)

We know that the slope is given by :

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

m = $\frac{-4 -11 }{1 -(-2)}$

m = -15 / 3

m = -5

We know that the point -slope form of a line is given by :

y - $y_{1}$ = m ( x - $x_{1}$)

y - 11 = -5 ( x + 2)

y  = -5x - 10 + 11

y = -5x + 1

or

f(x) = -5x + 1

Therefore , the equation of a line passing through two points that is (-2 , 11) and (1 , -4) is equal to f(x) = -5x + 1.

Learn more about point slope form of a line here :

brainly.com/question/22250570

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