Question

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

Answer 1

C)

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 = (y_(2)-y_(1))/(x_(2)-x_(1))\\\\=(-1-4)/(2-0)\\\\m =(-5)/(2)`

m = -5/2 ; (0 , 4)

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

`y - 4 = =(-5)/(2)(x - 0)\\\\y =(-5)/(2)x + 4`