# Writing a standard form equation given two points and slope

We also now know the y-intercept bwhich is 3 because we just solved for b.

It could be slope and the y-intercept, but it could also be slope and one point or it could be just two points. If you are given slope and the y-intercept, then you have it made. Then we can write our equation. Once you have m slope and b y-interceptyou can write an equation in slope intercept form.

Here you will have to read the problem and figure out the slope and the point that is given. We know the slope and a point x,y. This relation means that we know the x and y coordinates of an ordered pair. Now you are ready to solve real world problems given two points.

Then you will solve for b. We can now write our equation! Write a linear equation that can be used to determine the cost of a cab ride to anywhere around Washington DC. You must always know the slope m and the y-intercept b.

I know that this is a rate and therefore, is also the slope. Now we know the slope m is 1. Now we know the slope m is -2 because that was given to us.

These two numbers are related. The slope is going to be your "rate" and the point will be two numbers that are related in some way. Notice that in the chart, the 2 grey sections slope and y-intercept are the two numbers that we need in order to write our equation.

We also now know the y-intercept bwhich is 9 because we just solved for b. Writing Equations Given Slope and a Point Write the equation of a line, in slope intercept form, that passes through the point 6, -3 with a slope of If you are given slope and a point, then it becomes a little trickier to write an equation.$\text{Slope } = \frac{ y_2 - y_1 } { x_2 - x_1 }$ How it works: Just type numbers into the boxes below and the calculator will automatically calculate the equation of line in standard, point slope and slope.

Let's quickly review the steps for writing an equation given two points: 1. Find the slope using the slope formula. 2. Find the y-intercept by substituting the slope and the coordinates of 1 point into the slope intercept formula, y = mx + b.

3. Write the equation using the slope and y-intercept. In the last lesson, I showed you how to get the equation of a line given a point and a slope using the formula.

Anytime we need to get the equation of a line, we need two things. Ok, so if you are given slope and a point, then you need to substitute for m (slope), x, and y and then solve for b!

Once you have m (slope) and b (y-intercept). Point Slope Form and Standard Form of Linear Equations. Learning Objective(s) · Give the point slope and standard forms of linear equations and define their parts.

· Convert point slope and standard form equations into one another.

· Apply the appropriate linear equation formula to solve problems. 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).