Question

9 21. Which of the following is the graph of the equation?

Answer 1

Given the equation:

`-5x+2y=10`

We will find the intercepts of the equation

When x = 0

`\begin{gathered} -5\cdot0+2y=10 \\ 2y=10 \\ y=(10)/(2)=5 \end{gathered}`

so, the y-intercept is the point (0, 5)

When y = 0

`\begin{gathered} -5x+2\cdot0=10 \\ -5x=10 \\ x=(10)/(-5)=-2 \end{gathered}`

so, the x-intercept is the point (-2, 0)

We will find which graph passes through the points (0, 5) and (-2, 0)

So, the answer will be option D