Write the equation of the line fully simplified slope-intercept form.

Step-by-step explanation:

y = mx + b  <-- slope intercept form

Looking at the line from point (0,-5) to (3,0)

The slope (mx), rise over run

Rises 5 (in the positive direction, up) and runs 3 (in the positive direction, right)

the slope being 5/3

Then the b being your y-intercept

-5 will be your b because the line crosses the y axis at (0,-5) but the y-intercept is -5

Overall: y = x + (-5)

or

y = 5/3 x - 5

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.