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

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

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
$$y-y^1 = m(x-x^1)$$
$$y-(-9) = (12)(x-(-4))$$
$$y+9 = 12(x+4)$$
$$y+9 = 12x + 48$$
$$y = 12x + 48 - 9$$
$$y =12x +39$$

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