Question

Write an equation of the line below.

Answer 1

y=4/5x

Explanation:

y=mx+b where m=slope and b=y-intercept

In this problem, the slope is 4/5 because m=rise/run.

Answer 2

Answer (assuming it can be in slope-intercept form):

`y = (4)/(5) x`

Explanation:

1) First, find the slope of the line. Use the slope formula
`m = (y_2-y_1 )/(x_2-x_1)` and substitute the x and y values of two points on the line into it. We can see that the line passes through (0,0) and (5,4), so let's use those points for the formula and solve:

`m = (4-0)/(5-0) \\m = (4)/(5)`

So, the slope is
`(4)/(5)`.

2) Next, identify the y-intercept of the line. The y-intercept is the point at which the line intersects the y-axis. We can see that the line intersects the y-axis at (0,0), so that must be the y-intercept.

3) Now, write the equation of the line in slope-intercept form using the
`y = mx + b` format. The number in place of
`m` represents the slope, so substitute
`(4)/(5)` in its place. The number in place of
`b` represents the y-intercept, so substitute 0 in its place. This gives the following answer and equation:

`y =(4)/(5) x+0\\y = (4)/(5) x`