Question

Here’s a graph of a linear function write the equation that describes that function

Answer 1

Answer:

The equation y = (2/3)x - 1 describes the linear function.

Step-by-step explanation:

We know for a line y = mx + c, m stands for gradient or the slope of line.

C stands for y- intercept by the line.

When we analyse the graph y- intercept is (-1)

So c = -1

and this line passes through two points (3, 1) and (6, 3)

Therefore the slope this line = $\frac{(y-y')}{(x-x')}$

                                         m = $m=\frac{3-1}{6-3}=\frac{2}{3}$

So by putting these values in the equation we can get the original equation.

$y=\frac{2}{3}x-1$

Answer 2

ANSWER
$y = \frac{2}{3} x - 1$

EXPLANATION

The graph passes through (-3,-3) and has y-intercept -1.


The equation is

$y = mx - 1$


We determine the value of m by substituting
(-3,-3).

$- 3 = - 3m - 1$


$3m = 3 - 1$


$3m = 2$


$m = \frac{2}{3}$


The equation in slope intercept form is

$y = \frac{2}{3} x - 1$