Find equation of line with point and slope

Table of Contents Show

Example of 2
Video-Lesson Transcript
What is the equation for a line with a slope of 2?
How do you find the slope intercept form of a line?
How to find the equation of a line?
How do you calculate the slope of a graph using coordinates?
How do you find the equation of a line given the slope m and the point x1 y1 on the line?

This video explains how to find the equation of a line, given a point and the slope of the line. After you finish this lesson, view all of our Algebra 1 lessons and practice problems.

There are two ways of solving this.

One way is using the slope-intercept formula, y = mx + b

And the other way is by using the point-slope formula,

Example 1

Find the equation of the line that passes through the point with a slope of .

Let’s solve this using the point-slope formula which is

Now, let’s substitute

Now, let’s manipulate this to get the slope-intercept form

Now, let’s isolate by adding on both sides.

Example of 2

Find the equation of the line that passes through the point with a slope of .

Let’s solve this is using the slope intercept form directly.

Multipy on both sides

Let’s solve for by substituting the values of and .

Then isolate by subtracting on both sides

Divide to isolate

Now let’s write our slope intercept form

Video-Lesson Transcript

Let’s go over finding the equation of a line, given a point and the slope.

We’re going to use the slope intercept formula:

For example:

We’re going to solve this in two different ways.

First is the point-slope formula which is

Now, let’s substitute

Now, let’s manipulate this to get the slope intercept form

Now, let’s isolate by adding on both sides.

Or the second way to solve this is to do the slope intercept form directly.

Let’s solve for by substituting the values of and .

Then isolate by adding on both sides

Now let’s write our slope intercept form

which is the same as our first answer.

What is the equation for a line with a slope of 2?

The final equation for a line in slope-intercept form with a slope of 2 that contains the point (4, 3) is y = 2x-5. Find the slope using m = (y2-y1)/ (x2-x1).

How do you find the slope intercept form of a line?

Put those values in the point slope format to get an equation of that line in point slope form: If you simplify the point slope equation above you get the equation of the line in slope intercept form. Take the point slope form equation and multiply out 7 times x and 7 times 2.

How to find the equation of a line?

How to Find the Equation of a Line How to Find the Equation of a Line - Method 1 Calculating the Equation with One Point and the Slope 1 Plug the slope in for m in the formula y-y1 = m(x-x1). 2 Replace x1 and y1 with the coordinates of the point. 3 Solve the formula for y to get the final slope-intercept formula. See More....

How do you calculate the slope of a graph using coordinates?

Calculate slope, m using the formula for slope: Here you need to know the coordinates of 2 points on a line, (x 1, y 1) and (x 2, y 2 ). Say you know two points on a line and their coordinates are (2, 5) and (9, 19). Find slope by finding the difference in the y points, and divide that by the difference in the x points.

How do you find the equation of a line given the slope m and the point x1 y1 on the line?

Point-Slope Form of Equation of a Line: Suppose that a line of slope m passes through the point (x1,y1). Then the line has equation y − y1 = m(x − x1).