Answer:
y - 6 = 3(x + 2)
Step-by-step explanation:
Point-slope form: y - y1 = m(x - x1)
Given: m(slope) = 3, (6, -2)
(x1, y1) = (6, -2)
Input the given values of the slope and the point into the equation for point-slope form:
y - (-2) = 3(x - 6)
y + 2 = 3(x - 6)
The equation written in point-slope form is: y + 2 = 3(x - 6)
The length of BC is 53 units long
The final equation of line that passes through (9, 0) AND (0, -6) is:

Further explanation:
The general form of equation of line is:

Given
(x1,y1) = (9,0)
(x2,y2) = (0, -6)
We have to find the slope first:

Putting the value of slope in general form

To find the value of b, we have to put a point in the equation
Putting (9,0) in equation

Putting the values of b and m in general form
The final equation of line that passes through (9, 0) AND (0, -6) is:

Keywords: Equation of line, Pount-slope form
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