Question

A coordinate plane with a line passing through points at (0, negative 2) and (4, negative 1).

Answer 1

Answer:

$y=\frac{1}{4}x-2$

Step-by-step explanation:

We are given that a coordinate plane with line passing through the points (0,-2) and (4,-1).

We have to find the equation which represents the graphed function.

We know that

The equation of line which passing through two points is given by

$y-y_1=(\frac{y_2-y_1}{x_2-x_1}(x-x_1)$

Now using this formula ,

Then, the equation of line which passing through the point (0,-2) and (4,-1) is given by

$y-(-2)=(\frac{-1+2}{4-0})(x-0)$

$y+2=\frac{1}{4}x$

$y=\frac{1}{4}x-2$

Hence, the equation that represents the graphed function is given by

$y=\frac{1}{4}x-2$

Answer 2

Y=4x-2; it’s a positive slope