204k views
1 vote
A line passes through point (-6, 1) and has a slope of 4/3 write an equation in Ax+By=C

User Carneiro
by
7.5k points

1 Answer

5 votes

Answer & Explanation.

To write the equation of a line with a given slope that passes through a specific point, we can use the point-slope formula, which is given by:

y - y1 = m(x - x1)

where (x1, y1) is the coordinates of the given point, and m is the slope of the line. In this case, the coordinates of the given point are (-6, 1) and the slope of the line is 4/3. Plugging these values into the point-slope formula, we get:

y - 1 = (4/3)(x + 6)

We can now rearrange the terms in this equation to get it in the form Ax + By = C, which is:

y = (4/3)x + (4/3)(-6) + 1

This equation can be rewritten as:

4x + 3y = -8

So, the equation of the line in the form Ax + By = C is 4x + 3y = -8.

User Trampi
by
8.2k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories