225k views
3 votes
A line passes through the points (4,-1) and (11,6) in simplest form.

User Kreiri
by
8.0k points

1 Answer

3 votes

Final answer:

The equation of the line in simplest form passing through the points (4,-1) and (11,6) is y = x - 5, determined by calculating the slope and applying it to the point-slope form of the equation.

Step-by-step explanation:

The student is asking for the equation of a line in simplest form that passes through the points (4,-1) and (11,6). To find this equation, we need to determine the slope of the line and use the point-slope form.

The slope, m, can be calculated using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Applying this formula to the given points, the slope is (6 - (-1)) / (11 - 4) = 7/7 = 1.

Now we can use one of the points and the slope to write the equation in point-slope form, which is y - y1 = m(x - x1).

Choosing the point (4, -1), the equation becomes y - (-1) = 1(x - 4), simplifying to y = x - 5.

This is the equation of the line in simplest form.

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