Finding the Slope Algebraically. Objectives I am learning how to write linear equations in the slope-intercept format. I am learning how to calculate.

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Writing Linear Equations Using Slope Intercept Form

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Presentation transcript:

Finding the Slope Algebraically

Objectives I am learning how to write linear equations in the slope-intercept format. I am learning how to calculate the slope between two points. I am learning how to calculate the y-intercept when given two points.

Define Slope _____________________ _____________________ _____________________ _____________________ _____________________

What is the slope? Find the slope of a line that passes through the point (2, 4) and (7, 14) by graphing the points and drawing and labeling a slope triangle.

What is the slope? Find the slope of a line that passes through the point (2, 4)and (7, 14). This time show your work algebraically. (What do you know about slope that could help you with the calculation?)

Math to Words Step 1: (2, 4), (7, 14) First,____________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________

Calculating Slope from Two Points r_detailpage&v=2kMUk_XRvRQ

Generalizing the Process Step 1: (x 1, y 1 ), (x 2, y 2 ) First,____________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________

Can you write a linear equation given just two points? Find the equation of a line that passes through the point (2, 4) and (7, 14) by graphing.

Can you write a linear equation given just two points? Find the equation of a line that passes through the point (2, 4) and (7, 14) algebraically.

Math to Words Step 1: (2, 4), (7, 14) First,____________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________

Can you write a linear equation given just two points? write-a-linear-equation.html Kk_NfgZALI

Generalizing the Process Step 1: (x 1, y 1 ), (x 2, y 2 ) To write and equation from two points there are two pieces of information that need to be calculated. The first piece of information needed is the slope and the second piece of information is the y- intercept. To calculate the slope of line, __________________________________ __________________________________ __________________________________ __________________________________ __________________________________ __________________________________ __________________________________

Generalizing the Process Step 2: (x 1, y 1 ), (x 2, y 2 ) Next, substitute the slope into the equation for m and substitute one of the points into the equation. Now,____________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________ ________________________________