Write the slope intercept form of the equation for the line.

a: y= - 5/2x + 1/2
b: y= 5/2x + 1/2
c: y= 2/5x + 1/2
d: y= 2/5x - 1/2

B: y= 5/2x + 1/2

Step-by-step explanation:

Equation:

y = mx + b

Find the slope (m):

Two points are given, (-1,-2) (1,3)

m = y₂ - y₁ / x₂ - x₁

m = 3 -(-2) / 1 -(-1)

m = 3 + 2 / 1 + 1

m = 5/2

y = 5/2x + b

Find b:

As you can see from the graph, the line intersects the y-axis through point 1/2.

Equation:

y = 5/2x + 1/2

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step-by-step explanation: