Question

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

Answer 1

`y=-(3)/(4) x+3`

Explanation:

Slope-intercept form:
`y=mx+c`. where m is the slope of the line and c is where the line meets the y-axis.

From the graph:

`c=3`, we can clearly see that the line crosses the y-axis at (0,3)

Let's get two points from the graph to find m.

Point 1: (0,3)

Point 2: (4,0)

`m = (dy)/(dx)`, where dy is the difference in y and dx is the difference in x.

Therefore, we can put our points into that equation.

`(3-0)/(0-4) = -(3)/(4)`

So, now we have m and c, we can rewrite the equation
`y=mx+c` with our values.

This gives us:
`y=-(3)/(4) x+3`