Answer:
[tex]y=-\frac{3}{4}x -3[/tex]
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 [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
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:
[tex]\frac{-3-0}{0-(-4)} \\\\\frac{-3}{4} \\\\-\frac{3}{4}[/tex]
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
[tex]y=-\frac{3}{4}x-3[/tex]
