Which of these systems of equations shows the solution for the graph?
Question 5 options:

A)

y = 5∕2x + 4; y = –1

B)

y = –5∕2x + 4; y = 1

C)

y = –5∕2x + 4; y = –1

D)

y = –5∕2x –4; y = –1

Which of these systems of equations shows the solution for the graph Question 5 options A y 52x 4 y 1 B y 52x 4 y 1 C y 52x 4 y 1 D y 52x 4 y 1 class=

Respuesta :

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)

[tex]Slope = \dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-1-4}{2-0}\\\\m =\dfrac{-5}{2}[/tex]

m = -5/2  ; (0 , 4)

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

[tex]y - 4 = =\dfrac{-5}{2}(x - 0)\\\\y =\dfrac{-5}{2}x + 4[/tex]