Question

The graph of a linear relationship is shown. Which equation best represents the relationship between x and y in the graph

Answer 1

B. y = -3/4x + 5/2

Explanation:

B. y = -3/4x + 5/2

Take two points from the graph, let's use (-2, 4) and (2, 1):

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

= (1 - 4) / (2 - (-2))

= -3/4

Find y-intercept using slope above and anyone point:

y = mx + b

(1) = -3/4(2) + b

1 = -3/2 + b

b = 1 + 3/2

b = 5/2

Equation of line using m and b above:

y = mx + b

y = -3/4x + 5/2

that is why hope it helps

Answer 2

B. y = -3/4x + 5/2

Explanation:

Take two points from the graph, let's use (-2, 4) and (2, 1):

Find slope:

m = (y₂ - y₁) / (x₂ - x₁)

= (1 - 4) / (2 - (-2))

= -3/4

Find y-intercept using slope above and anyone point:

y = mx + b

(1) = -3/4(2) + b

1 = -3/2 + b

b = 1 + 3/2

b = 5/2

Equation of line using m and b above:

y = mx + b

y = -3/4x + 5/2