Given the equation:
[tex]-5x+2y=10[/tex]We will find the intercepts of the equation
When x = 0
[tex]\begin{gathered} -5\cdot0+2y=10 \\ 2y=10 \\ y=\frac{10}{2}=5 \end{gathered}[/tex]so, the y-intercept is the point (0, 5)
When y = 0
[tex]\begin{gathered} -5x+2\cdot0=10 \\ -5x=10 \\ x=\frac{10}{-5}=-2 \end{gathered}[/tex]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
