Question

Can any one answer this correctly?

Answer 1

Answer:

A

Step-by-step explanation:

The Y-intercept is -3.

The gradient is -3/4 since it goes down 3 every 4 tiles.

Answer 2

Answer:

$y=-\frac{3}{4}x -3$

Step-by-step explanation:

Hey there!

We can form this equation in slope-intercept form

This means, we have to find the slope and the y intercept of the line

First lets find the slope

The equation for slope is $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

In order to find y and x, we need to take two points on the line

(-4, 0) and (0, -3)

x1   y1        x2  y2

Plug it in:

$\frac{-3-0}{0-(-4)} \\\\\frac{-3}{4} \\\\-\frac{3}{4}$

This means, the slope is -3/4

Now we have to find the y-intercept

The y-intercept is where the line intercepts the y-axis

The line intercepts the y-axis at the point (0, -3)

So now that we have the slope and the y-intercept, we can form the equation

$y=-\frac{3}{4}x-3$