Question

Graphs and lines. please help thx

Answer 1

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

Explanation:

In order to identify the equation of line from the given graph, we need to find the slope and the y-intercept.

Slope of a line is the ratio of rise to run or change in
`y` over change in
`x`.

The y-intercept is a point on the line for which the
`x` value is 0. In other words, it is on the y-axis.

Here, from the graph,

y-intercept is at point (0,4). So, y-intercept is the
`y` value which is,
`b= 4`.

Also, slope is given as,
`m=(\Delta y)/(\Delta x)=(4)/(3)`

Therefore, the equation of the line is:

`y=mx+b\\y=(4)/(3)x+4`