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.
Answer: [tex]y = \frac{-3}{5} x + 5[/tex] 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 = [tex] \frac{-3}{5} [/tex]
This means that, the equation now is: y = [tex] \frac{-3}{5} x + c[/tex]
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: [tex]y = \frac{-3}{5} x + 5[/tex]
