Question

Graphs and lines. please help thx

Answer 1

Answer:

$y=\frac{4}{3}x+4$

Step-by-step 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, $m=\frac{\Delta y}{\Delta x}=\frac{4}{3}$

Therefore, the equation of the line is:

$y=mx+b\\y=\frac{4}{3}x+4$