Question

PLS HELP MEEE!!!! BRAINLIESTTTTT!!!!!

Answer 1

Answer:

Line: $y=4/3x$, Graph: desmos(.com)/calculator/tiptlly8xj

Step-by-step explanation:

First off, your slope is wrong. I will show you how to find the correct slope, and will make the graph.

The change in $y$ is $16-8=8$.

The change in $x$ is $12-6=6$.

That makes the slope $8/6=4/3$.

Recall point-slope form. That is, given a point $(x_{1}, y_{1})$ and a slope $m$, the line through the given point with the given slope is of the form $y-y_{1}=m(x-x_{1})$.

Plugging in one of the points, (6, 8)(we could also use (12, 16)) to the point-slope equation gives the line: $y-8=4/3(x-6)$.

Converting to slope-intercept form($y=mx+b$)...

Simplifying the right hand side gives $y-8=4/3x-8$.

Adding $8$ to both sides gives the desired line, $y=4/3x$.

The graph is shown on Desmos in the answer.