.
Indicate in standard form the equation of the line passing through the given points,
writing the answer in the equation box below.
G (4, 6), H (1, 5)
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The solution in the post by @josgarithmetic is WRONG.
It is incorrect from the first step calculating the slope and to the end, including his answer .
I came to bring a correct solution.
Calculate the slope m = = = = .
It is the same as to use the formula m = with coordinates = 4, = 6, = 1, = 5.
Next, write an equation of the line having the slope and passing through the given point (4,6).
An equation of a straight line in a coordinate plane which has the slope m and passes through the given point P = (a,b) is
y - b = m*(x-a).
Substitute here m = , a = 4, b = 6, and you will get
y - 6 = . (1)
It is the equation in the slope-point form.
But you want to get an equation in standard form, which is Ax + By = C.
To get it, multiply equation (1) by 3 (both sides) and simplify
3*(y-6) = x-4,
-18 + 4 = x - 3y,
-14 = x - 3y,
x - 3y = -14.
This equation is what you want, i.e. your ANSWER.
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See the lesson
- Equation for a straight line in a coordinate plane passing through two given points
in this site. Find there several other similar solved problems.
Learn the subject from there.
As a bonus to you, consider the lessons in this site
- Find the slope of a straight line in a coordinate plane passing through two given points
- Equation for a straight line having a given slope and passing through a given point
- Solving problems related to the slope of a straight line
- Equation for a straight line in a coordinate plane passing through two given points
- Equation for a straight line parallel to a given line and passing through a given point
- Equation for a straight line perpendicular to a given line and passing through a given point
that are closely related to your problem.
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