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Example20

# Example20 - x to both sides and adding 20 to both sides...

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Example 5 Find the equation of the line containing the points (–3,4) and (7,2) and write the equation in both  point-slope form and standard form. For the point-slope form, first find the slope,  m Now, choose either given point, say (–3,4), and substitute the  x  and  y  values into the point-slope  form.  For the standard form, begin with the point-slope form and clear it of fractions by multiplying both  sides by the least common denominator. Multiply both sides by 5. Get  x  and  y  on one side and the constants on the other side by adding

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Unformatted text preview: x to both sides and adding 20 to both sides. Make sure that A is a positive number. x + 5 y = 17 A nonvertical line written in standard form is Ax + By = C , with B ≠ 0. Solve this equation for y . The value becomes the slope of the line, and becomes thev y-intercept value. If is replaced with m and is replaced with b , the equation becomes y = mx + b . This is known as the slope-intercept form of a nonvertical line....
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Example20 - x to both sides and adding 20 to both sides...

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