How do you find an equation of a line containing 2 points?

Steps to find the equation of a line from two points:

Find the slope using the slope formula.
Use the slope and one of the points to solve for the y-intercept (b).
Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

What is the equation of the line that passes through the points (- 2 2 and 0 5?

What is the equation of the line that passes through the points (-2, 2) and (0, 5)? Summary: The equation of the line that passes through the points (-2, 2) and (0, 5) is y = 3/2 x + 5.

What is the equation of a straight line passing through two points?

The equation of a line passing through two points (x1, y1) and (x2, y2) is y – y1 = [y2−y1x2−x1](x – x1).

How do you find the points of an equation?

To find points on the line y = mx + b,

choose x and solve the equation for y, or.
choose y and solve for x.

What is an equation of the line that passes through the points (- 1 2 and 2 4?

Answer: The equation of a line passing through the points (-1, 1) and (2, -4) is 5x + 3y + 2 = 0. Explanation: Let us consider the given points (-1, 1) and (2, -4).

What is the equation of the line that goes through the points 2 3 and 4 6?

3x – 2y = 0
Answer: The equation of a line passing through the points (2, 3) and (4, 6) is 3x – 2y = 0.

What is the equation of a line with slope passes through point (- 2 4?

Summary: The equation of a horizontal line passing through the point (2, 4) is y – 4 = 0.

What is an equation of the line that passes through the points 0 2 and 6 6?

Summary: The equation of the line passing through the points (0,-2) and (6,0) is given by 2x – 6y = 12.

What is the equation of the line whose slope is and whose y-intercept is 3?

The equation of the line whose y-intercept is 3 and slope is 1 is y = x + 3.

Which equation represents the line that passes through (- 6 7 and (- 3 6 )?

The slope of a line joining the two points is y2-y1 / x2-x1 which in this case is 6-7 / -3 – -6) = – 1/3. The slope-intercept form of a line is y =mx +b where m is the slope and b in the y intercept.

What is the equation of the line that passes through (- 2 6 and 2 14 in slope-intercept form?

y = 2x + 10
Summary: The equation of the line that passes through (-2, 6) and (2, 14) in slope-intercept form is y = 2x + 10.

What is the equation of the line that passes through the point (- 4 2 and has a slope of 2?

y = 1/2 x + 4 Final answer! We have the point ( -4 , 2 ) so x1 = -4 and y1 = 2. The slope is still 1/2 so m = 1/2.

What is the equation of the line that passes through 5 2 and (- 3 4?

1 Expert Answer m=(y2-y1)/(x2-x1) and b is the y-intercept. Let us find the slope first. Using our two points we get m=(y2-y1)/(x2-x1) = (4–2)/(-3-5) = 6/-8 which reduces to -3/4.

What is an equation of the line that passes through the points 0 and − 6 0 )?

Since a vertical line has a constant value of x and the line must pass through (0,−6) , the equation is x=0 .

What is the equation in the slope-intercept form of a line with slope of 3 and y-intercept of 1?

Summary: The equation of the line whose y-intercept is 3 and slope is 1 is y = x + 3.

What is the equation of a line in general form that passes through points (- 1 2 and 5 2?

y = 2
The equation of a line, in general form, that passes through points (-1, 2) and (5, 2) is y = 2.

How to find the equation of a line from its points?

Find the equation, in form, of the line that contains the points and . When finding the equation of a line from some of its points, it’s easiest to first find the line’s slope, or . To find slope, divide the difference in values by the difference in values.

Is it easier to write an equation from 2 points?

However, if you are comfortable using the point slope form of a line, then skip to the second part of this page because writing the equation from 2 points is easier with point slope form . Which Form is better? Point slope form requires fewer steps and fewer calculations overall. This page will explore both approaches.

How to find the slope of a line with two points?

The slope of the line when two points are given say, P (x 1, y 1) and Q (x 2, y 2), is given by: Slope, m= (y 2 -y 1)/ (x 2 -x 1)

How to write the equation of a line in standard form?

Express the equation in standard form. At this level of pdf worksheets, x and y coordinates are in the form of integers. Use the given two points, (x 1, y 1) and (x 2, y 2) to find the slope and apply point-slope formula to write the equation of a line. Express the equation in standard form.