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Write the equation of the line that passes through (–2, 6) and (2, 14) in slope-intercept form.
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can someone help please? medal and fan?
slope intercept form: \(\tt{y=\color{blue}{m}x+\color{red}{b}\\ \color{blue}{m=slope} \\ \color{red}{b=y-intercept} }\)
First find the slope \[\LARGE \frac{y_2-y_1}{x_2-x_1}=slope\]
To find the slope, use the slope formula which is m= (y2-y1)/(x2-x1). In this case the slope is 2.
The plug it into the slope intercept formula, which is y = mx+b, so you get 14=2(2) + b, solve for b and you get 3.5 or 7/2.
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so with the 2 what should I do then?
sorry took me a bit to write it out, wanted to make sure I got it right :)
put 2 for m \(\tt{y=2x+b}\) now choose one of the 2 ordered pairs
6 @Mehek14
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