Writing Linear Equations Given Two Points In Standard Form & Point Slope Form

TL;DR

Learn how to write linear equations given slope and a point, two points, or a data table in slope intercept form, point slope form, and standard form.

Transcript

in this video we're going to talk about how to write linear equations particularly if you're given the slope and a point if you're given two points if you're given a data table and we're going to talk about how to put it in its three different forms slope intercept form point slope form and in standard form so the first kind of question that you mi... Read More

Key Insights

• 💁 Linear equations can be written in slope intercept form, point slope form, or standard form.
• 💁‍♂️ Slope intercept form (y = mx + b) is useful when given slope and y-intercept information.
• 😥 Point slope form (y - y1 = m(x - x1)) is used when given two points on a line.
• ☺️ Standard form (Ax + By = C) arranges the equation with integer coefficients and x and y variables on the same side.

Questions & Answers

Q: How do you write a linear equation given the slope and y-intercept?

To write an equation given the slope (m) and y-intercept (b), substitute the values into the slope intercept form equation (y = mx + b).

Q: How do you write a linear equation given two points?

Find the slope using the formula (m = (y2 - y1) / (x2 - x1)), then use the point slope form equation (y - y1 = m(x - x1)). Convert it to slope intercept or standard form if needed.

Q: How do you write a linear equation in standard form?

Move the x and y variables to the same side of the equation by adding or subtracting terms. Then, multiply the equation by a constant to get integer coefficients.

Q: How do you write a linear equation from a data table?

Choose two points from the table, calculate the slope using the formula mentioned earlier, and use the point slope form equation to write the equation.

Summary & Key Takeaways

• Linear equations can be written in slope intercept form (y = mx + b), point slope form, or standard form (Ax + By = C).

• To write an equation given slope and a point, substitute the slope (m) and y-intercept (b) into the slope intercept form equation (y = mx + b).

• To write an equation given two points, find the slope using the formula (m = (y2 - y1) / (x2 - x1)), then use the point slope form equation (y - y1 = m(x - x1)). Convert it to slope intercept or standard form if needed.

• To write an equation from a data table, choose two points and use the same process as writing an equation given two points.