Question

Use the slope intercept form to write an equation

Answer 1

Answer:
$y = \frac{-3}{5} x + 5$ 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 = $\frac{-3}{5}$

This means that, the equation now is:
y = $\frac{-3}{5} x + c$

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:
$y = \frac{-3}{5} x + 5$

Hope this helps :)

Answer 2

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.