How to find the general form of the line with slope -2 passing through the point (-4, 6)?

wabennestvzz

wabennestvzz

Answered question

2023-02-10

How to find the general form of the line with slope -2 passing through the point (-4, 6)?

Answer & Explanation

chaghirun

chaghirun

Beginner2023-02-11Added 7 answers

y = - 2 x + c is the general equation with a slope of -2
Enter (-4, 6) into the equation now to determine the precise equation.
6 = - 2 × - 4 + c
6 = 8 + c
- 2 = c
y = - 2 x - 2
Carsen Oneill

Carsen Oneill

Beginner2023-02-12Added 1 answers

the equation of a line in general form is.
| 2 2 A x + B y + C = 0 2 2 | ̲ ¯
where A is a positive integer and B, C are integers
obtain the equation in slope-intercept form
x y = m x + b
where m is the slope and b the y-intercept
here m = - 2
y = - 2 x + b is the partial equation
to find b substitute ( - 4 , 6 ) into the partial equation
6 = 8 + b b = 6 - 8 = - 2
y = - 2 x - 2 in slope-intercept form
subtract 2 x - 2 from both sides
2 x + y + 2 = 0 in standard form

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