How to write an equation of a line with point (-4,6), slope -2?

mugenziwzn6

mugenziwzn6

Answered question

2023-02-15

How to write an equation of a line with point (-4,6), slope -2?

Answer & Explanation

Spencer Shepard

Spencer Shepard

Beginner2023-02-16Added 6 answers

The point-slope formula can be used to create an equation for this line. The point-slope form of a linear equation is: ( y - y 1 ) = m ( x - x 1 )
Where ( x 1 , y 1 ) is a point on the line and m is the slope.
The result of substituting the values from the problem's point and slope is as follows:
( y - 6 ) = - 2 ( x - - 4 )
( y - 6 ) = - 2 ( x + 4 )
To convert the equation to slope-intercept form, we can additionally solve for y . The slope-intercept form of a linear equation is: y = m x + b
Where m is the slope and b is the y-intercept value.
y - 6 = ( - 2 × x ) + ( - 2 × 4 )
y - 6 = - 2 x + ( - 8 )
y - 6 = - 2 x - 8
y - 6 + 6 = - 2 x - 8 + 6
y - 0 = - 2 x - 2
y = - 2 x - 2

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