Mathematics: Write an equation in point slope form for the line that passes through (3,0) and (-3,-6).

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Write an equation in point slope form for the

Mevans5602

05.01.2022

Step-by-step explanation:

The point-slpe form of an equation of a line:

y-y_1=m(x-x_1)

m - slope

(x₁, y₁) - point on a line

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

(x₁, y₁), (x₂, y₂) - points on a line

We have the points (3, 0) and (-3, -6).

Calculate the slope:

$m=\dfrac{-6-0}{-3-3}=\dfrac{-6}{-6}=1$

Put the value of the slope and the coordinates of the point (3, 0) or (03, 06) to the equation of a line:

FOR (3, 0):

$y-0=1(x-3)\to y=1(x-3)\to y=x-3$

FOR (-3, -6):

$y-(-6)=1(x-(-3))\to y+6=1(x+3)\to y+6=x+3$

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