Question

Write the linear equation from the points below using y=mx+b

Answer 1

y = 3x + 4

Step-by-step explanation:

Linear equation: y=mx+b​

m = slope

b = y intercept

Points: (0, 4) and (-2, -2)

To get the slope, we would apply the slope formula:

`m\text{ = }(y_2-y_1)/(x_2-x_1)`
`\begin{gathered} x_1=0,y_1=4,x_2=-2,y_2\text{ = }-2 \\ m\text{ = }(-2-4)/(-2-0) \\ m\text{ = -6/-2} \\ m\text{ = 3} \end{gathered}`

To get the y intercept, we would use any of the points and the slope.

using (0, 4) = (x, y)

4 = 3(0) + c

4 = 0 ++ c

c = 4

The linear equation from the points:

y = 3x + 4