Question

Please help me fast, I will give brainliest to whoever shows there work, and if it is right.

Answer 1

Answer:

The required equation is $\frac{3}{2}x-3=y$

Step-by-step explanation:

The equation of the given function can be written in the form $y=mx+b$, where $m$ is the slope and $b$ is the y-intercept.

The given equation has a y-intercept of $b=-3$

The straight line passes through $(0,-3)$ and $(2,0)$.

We calculate the slope using the formula,

$m=\frac{y_2-y_1}{x_2-x_1}$

$m=\frac{0--3}{2-0}$

$m=\frac{0+3}{2-0}$

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

We now substitute the slope and y-intercept into the above equation of the straight line to get,

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

This is the same as

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

Answer 2

Answer:

The equation of graphed function is $y=\frac{3}{2}x-3$.

Step-by-step explanation:

From the given graph it is clear that the x-intercept of the line is 2 and y-intercept of the line is -3. It means the line passing through the points (2,0) and (0,-3).

If a line passing through two point, then the slope of the function is

$m=\frac{y_2-y_1}{x_2-x_1}$

The slope of the line is

$m=\frac{-3-0}{0-2}=\frac{-3}{-2}=\frac{3}{2}$

The slope intercept form of a line is

$y=mx+b$

where, m is slope and b is y-intercept.

Since the slope of the line is $\frac{3}{2}$ and y-intercept is -3, therefore the equation of the function is

$y=\frac{3}{2}x+(-3)$

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

Thus, the equation of graphed function is $y=\frac{3}{2}x-3$.