Question

Which of these systems of equations shows the solution for the graph?

Answer 1

Answer:

C)

Step-by-step explanation:

Solution of the equation is given by the intersecting point which is (2 , -1)

Find the equation of the line:

(0,4)  ; (2 , -1)

$Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-1-4}{2-0}\\\\m =\dfrac{-5}{2}$

m = -5/2  ; (0 , 4)

Equation: y - y1 =m(x -x1)

$y - 4 = =\dfrac{-5}{2}(x - 0)\\\\y =\dfrac{-5}{2}x + 4$