Question

Can any one answer this correctly?

Answer 1

A

Explanation:

The Y-intercept is -3.

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

Answer 2

`y=-(3)/(4)x -3`

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
`(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:

`(-3-0)/(0-(-4)) \\\\(-3)/(4) \\\\-(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=-(3)/(4)x-3`