Write an equation for the line in point slope form

Let's quickly review the steps for writing an equation given two points:

Write an equation for the line in point slope form

Find the slope and the y-intercept of the line. This example is written in function notation, but is still linear. As shown above, you can still read off the slope and intercept from this way of writing it. We can get down to business and answer our question of what are the slope and y-intercept.

write an equation for the line in point slope form

In this form, the slope is m, which is the number in front of x. In our problem, that would have to be 2.

Steps for Graphing a Line With a Given Slope

In this form, the y-intercept is b, which is the constant. In our problem, that would be The answer is the slope is 2 and the y-intercept is Note how we do not have a y. This type of linear equation was shown in Tutorial If you said vertical, you are correct. The graph would look like this: Note that all the x values on this graph are 5.

Well you know that having a 0 in the denominator is a big no, no.

Writing Algebra Equations Finding the Equation of a Line Given Two Points. We have written the equation of a line in slope intercept form and standard form. We have also written the equation of a line when given slope and a point. Now we are going to take it one step further and write the equation of a line when we are only given two points that are on that line. After completing this tutorial, you should be able to: Find the slope given a graph, two points or an equation. Write a linear equation in slope/intercept form. You can find the straight-line equation using the point-slope form if they just give you a couple points: Find the equation of the line that passes through the points (–2, 4) and (1, 2). I've already answered this one, but let's look at the process.

This means the slope is undefined. As shown above, whenever you have a vertical line your slope is undefined. Looking at the graph, you can see that this graph never crosses the y-axis, therefore there is no y-intercept either. Another way to look at this is the x value has to be 0 when looking for the y-intercept and in this problem x is always 5.

write an equation for the line in point slope form

So, for all our efforts on this problem, we find that the slope is undefined and the y-intercept does not exist.Get an answer for 'Find the equation of the line which passes through the point (-2,3) and makes an angle 60 with the positive direction of x .

The slope-intercept form of a line is written as = = + where m is the slope and b is the y-intercept. This is a function of only x and it would be useful to make this equation written as a function of both x and y.

After completing this tutorial, you should be able to: Find the slope given a graph, two points or an equation. Write a linear equation in slope/intercept form. Writing Algebra Equations Finding the Equation of a Line Given Two Points.

We have written the equation of a line in slope intercept form and standard form. We have also written the equation of a line when given slope and a point. Now we are going to take it one step further and write the equation of a line when we are only given two points that are on that line.

Where #color(blue)(m)# is the slope and #color(red)(((x_1, y_1)))# is a point the line passes through. We can substitute the slope of the first line and the values from the point in the first problem to write the equation of the line in point-slope form.

You may already be familiar with the "y=mx+b" form (called the slope-intercept form of the equation of a line).

It is the same equation, in a different form! The "b" value (called the y-intercept) is where the line crosses the y-axis.

Point-Slope Equation of a Line