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

Write The Linear Equation From The Points Below Using Ymxb class=

Sagot :

y = 3x + 4

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:

[tex]m\text{ = }\frac{y_2-y_1}{x_2-x_1}[/tex][tex]\begin{gathered} x_1=0,y_1=4,x_2=-2,y_2\text{ = }-2 \\ m\text{ = }\frac{-2-4}{-2-0} \\ m\text{ = -6/-2} \\ m\text{ = 3} \end{gathered}[/tex]

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