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 Depdendent Variable

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 Dependent Variable

 Number of inequalities to solve: 23456789
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# Linear Equations

## Slope Given Two Points

 Background The slope of a nonvertical line passing through the points (x1, y1) and (x2, y2) is Warm-Up matches â€œThe line is going uphill, so the slope is positive. Starting at (-1, -1) you go up 1 and right 3, so the slope is .â€

## Linear Equations in Slope-Intercept Form

 Background The linear equation y = mx + b is written in slope-intercept form. The slope is m. The y-intercept is b. Example Warm-Up matches m = 3. â€œFrom one point on the graph, you move up 3 and right 1 to the second point, so the slope is 3.â€ Warm-Up y = 3x - 2 matches . â€œFrom the graph, the y-intercept is -2 and the slope is 3. So the equation is y = 3x - 2.â€

## Finding Solutions to the Equation y = mx + b

 Background A solution of a linear equation is an ordered pair whose values make the equation true. To find a solution, pick a value for x, substitute it into the equation, and solve for y Warm-Upy = 3x - 7; (2,      ) is a solution. matches -1 â€œReplace with 2; 3 times 2 is 6. 6 minus 7 is -1, so the answer is -1.â€