Write the equation of the line that passes through the point (-4, -9) and has a slope of 12

Write the equation of the line that passes through the point (-4, -9) and has a slope of 12

Question
Forms of linear equations
asked 2021-01-23
Write the equation of the line that passes through the point (-4, -9) and has a slope of 12

Answers (1)

2021-01-24

point slope formula of a line: \(y-y^1 = m(x-x^1)\)
the point (-4, -9) means \(x^1 = -4\) and \(y^1 = -9\)
the slope 12 means \(m = 12\)
plug and chug
\(y-y^1 = m(x-x^1)\)
\(y-(-9) = (12)(x-(-4))\)
\(y+9 = 12(x+4)\)
\(y+9 = 12x + 48\)
\(y = 12x + 48 - 9\)
\(y =12x +39\)

0

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