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Help for 15 points . ill up it

Help for 15 points . ill up it-example-1

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Explanation:

Let
P_1(-1, -8)\:\text{and}\:P_2(-4, -9)

The slope of the line through these two points is


m = (y_2 - y_1)/(x_2 - x_1) = ((-9 + 8))/((-4 + 1)) = (1)/(3)

So the slope-intercept form of the line passing through the two points is


y = mx + b = (1)/(3)x + b

To find b, we use either point into our equation. Let's use (-1, -8):


-8 = (1)/(3)(-1) + b \Rightarrow b = -(23)/(3)

Therefore, the slope-intercept form of the equation for the line is


y = (1)/(3)x - (23)/(3)

The standard form of the equation can be written as


x + 3y + 23 = 0

User John Jerrby
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