How to find equation of line passing through the point P(8,2) with a slope of 4?

o1je28g

o1je28g

Answered question

2023-03-03

How to find equation of line passing through the point P(8,2) with a slope of 4?

Answer & Explanation

Nhluvukoj6m

Nhluvukoj6m

Beginner2023-03-04Added 6 answers

We can use the point-slope formula to find an equation for the line described in the problem. The point-slope formula states: ( y - y 1 ) = m ( x - x 1 )
Where m is the slope and ( x 1 y 1 ) is a point the line passes through.
Substituting the slope and values from the point in the problem gives:
( y - 2 ) = 4 ( x - 8 )
To convert this equation to slope-intercept form, we can solve it 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 - 2 = 4 ( x - 8 )
y - 2 = ( 4 x ) - ( 4 8 )
y - 2 = 4 x - 32
y - 2 + 2 = 4 x - 32 + 2
y - 0 = 4 x - 30
y = 4 x - 30

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