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 2 years ago
Write the equation of the line passing through the points (0, 4) and (2, 2).
 2 years ago
Write the equation of the line passing through the points (0, 4) and (2, 2).

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jazy
 2 years ago
Best ResponseYou've already chosen the best response.1Find slope. \[m = \frac{ y2  y1 }{ x2  x1 }\]\[m = \frac{ 2  (4) }{ 2  0 } = \frac{ 2 + 4 }{ 2  0 } = \frac{ 6 }{ 2 } = 3\]Slope is 3. You have the slope(3) and you have a given point (0, 4). PointSlope form. y  y1 = m(x  x1) m is slope Substitute the x and yvalues of your point, for x1 and y1. So you have:\[y  (4) = 3(x  0)\]or\[y + 4 = 3(x  0)\] Change into SlopeIntercept form. y = mx + b \[y + 4 = 3(x  0)\]Distribute. \[y + 4 = 3x  0\]Solve for y. Subtract 4 from both sides.\[y = 3x  4\]^There is your equation.

jazy
 2 years ago
Best ResponseYou've already chosen the best response.1Hopefully this helped you understand the concept! (:
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