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Given: m = (y2 - y1)/x2 - x1), y = mx + b, and the points (-2, 2) and (2, 4).
Find the y-intercept. Write the equation of the line in slope-intercept form

Sagot :

[tex]The\ slope-intercept\ form:y=mx+b\\\\m=\frac{y_2-y_1}{x_2-x_1}\\\\(-2;\ 2);\ (2;\ 4)\\\\m=\frac{4-2}{2-(-2)}=\frac{2}{4}=\frac{1}{2}\\\\y=\frac{1}{2}x+b;\ (2;\ 4)\\\\substitute\ x=2\ and\ y=4:\\\\\frac{1}{2}\cdot2+b=4\\\\1+b=4\\\\b=4-1\\\\b=3\\\\y-intercept\ is\ 3.\\\\Answer:y=\frac{1}{2}x+3[/tex]
4blueforever
the slope intercept form which is also expressed as the variable b : 3
the new equation found which is now written in slope intercept form: y= 1/2x + 3
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