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(1,4), (2,6) (I need these points written in slope-intercept form)

User Reyno
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The slope-intercept equation from the two-point form is


y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)
x_{1_{}}=1,y_1=4,x_2=2,y_2=\text{ 6}
\begin{gathered} y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1) \\ y-\text{ 4 =}(6-4)/(2-1)(x\text{ - 1)} \end{gathered}
\begin{gathered} y\text{ - 4 = }(2)/(1)(x-1) \\ y-4\text{ = 2(x-1)} \\ y-4=2x-2 \\ \text{collect like terms} \\ y=2x\text{ -2 +4} \\ y\text{ = 2x + 2} \end{gathered}

The equation is y = 2x + 2

From y = mx + c

m = 2, c = 2

m is the slope, while c is the intercept on the y-axis


\begin{gathered} \text{the slope m} \\ m\text{ =}(y_2-y_1)/(x_2-x_1) \end{gathered}
\begin{gathered} m\text{ = }(6-4)/(2-1)=(2)/(1)=2 \\ m\text{ = 2} \end{gathered}

User BTSM
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