Use the slope intercept form to write an equation

Given:

Slope = -3/5

y - intercept = (0 , 5)

The answer is y = -3/5 + 5

Note:

The x = 0 and the y = 5 . We are looking for y- intercept so we use 5 instead of 0. 

Since the formula for slope intercept form is y = mx + b, we use option number 4 as our equation. for option number 1, it did not include the negative sign that was given in the slope so we opt to choose option 1. 

which is the last option

Explanation:
The general form of the linear equation is:
y = mx + c
where:
m is the slope and c is the y-intercept

We are given that:
slope = 

This means that, the equation now is:
y = 

Now, for the y-intercept:
y -intercept is defined as the value of the y at x = 0.
We are given that:
at x = 0 .........> y = 5
This means that our y-intercept is 5

Based on the above, the equation of the line is:


Hope this helps :)