Question

трпсас T0 puntos Determine the equation of the line. The table is also shown for reference. 1) y = x+8 2) y = x+8 3) y = x + 8 4) y = 5x +8 Opción 1 opcion 2

Answer 1

First we need to find the slope

(-3, 13) and (0, 8)

`\text{slope =}(y_2-y_1)/(x_2-x_1)`

x₁ = -3 y₁=13 x₂=0 y₂=8

`\text{slope =}(8-13)/(0+3)`

`\text{slope =}(-5)/(3)`

Next, find the intercept

x=0 y=8 and m = -5/3

substitute into y=mx+ b and solve for b

8 = -5/3(0) + b

b = 8

Substitute m =-5/3 and b = 8 into y=mx+ b

`y\text{ = -}(5)/(3)x\text{ + 8}`

The correct option is option 4)