Question

Photo question graphing linear equations

Answer 1

We want to select the graph that represents the equation;

`2x-5y=-10`

Let's rewrite this equation as;

`\begin{gathered} -5y=-2x-10 \\ divide\text{ both sides by -5, we obtain;} \\ y=(2)/(5)x+2 \end{gathered}`

This equation has a slope of 2/5, an x-intercept of -5. and a y-intercept of 2, lets inspect the graphs to see which one matches it.

Going through the options, we see that the matching graph-the correct graph is Option A.