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write the equation of the line in slope - intercept form, $y = mx + b$.…

Question

write the equation of the line in slope - intercept form, $y = mx + b$. first, find the slope of the line. $m = $

Explanation:

Step1: Select two points on the line

Let's choose \((0, - 2)\) and \((1,1)\)

Step2: Use the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\)

Substitute \(x_1 = 0,y_1=-2,x_2 = 1,y_2 = 1\) into the formula:
\(m=\frac{1-(-2)}{1 - 0}=\frac{1 + 2}{1}=3\)

Answer:

\(3\)