Derive Equations Using Point Slope Form (Standard 7.0)

Douglas Orellana Alexia Olguin Esther Ibarra

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Title: Deriving Equations Using Point Slope Form Homework: Review Notes and prepare for BMDo Now: Is (-6,-2) a solution to the equation y=x+4 *Do in Work

Book.

AI 7.0 I will be able to verify that a point lies on a line, given an equation of the line and be able to derive linear equations by

using the point-slope formula.

Linear Equation~ is an algebraic equation in which each term is either a constant or the product of a constant and a single variableY- Intercept-A point where the graph of a function or relation intersects with the y-axis of the coordinate system.X- Intercept~ When a point crosses the X axis on a coordinate gridPoint Slope Formula: y-y1=m (x-x1)

**** You can study vocab using the following quizlet set: http

://quizlet.com/31732573/deriving-equations-using-point-slope-form-flash-cards/ ****

Vocab

How do you find the linear equation when given two points?

What is point slope form?

Notes Cont.1

The equation of a line is typically written as y=mx+b where m is the slope and b is the y-intercept.If you know two points that a line passes through, you can find the linear equation. Y-y1=m(x-x1)It refers to the method for graphing a linear equation on an x,y axis.Example: Point-(4,3) and slope is 2Step 1: Plug in the given values into your point slope formula above. Your point (4,3) is in the form of x1,y1.

Step 2: Your slope was given to you, so where you see M, use 2

Final result should be: y-3=2(x-4) y-3=2x-8 +3 +3 y = 2x-5

Is an algebraic equation in which each term is either a constant or the product of a constant and a single variable

There are two different variations to find the answer, but one way is by plugging in the points. The other is by graphing the formula and seeing if it works for the equation.

Example 1: Can you plug (4,10)into the equation Y=2x+2 and successfully get an equal answer?

Notes Cont.

What is point slope form? (cont.)

What is a Linear Equation?

Given a point, how do you know if it lies on the line?

Guided Questions

Does (3,15) work for the equation y=3x+7?Step 1:

Guided QuestionsDoes (9,8) work for the equation 7x+2y=32? Show work.

Guided Questions Does (5,10) work for the equation y+x=15

Find the y-intercept form for the following: (1,2) and slope of 2.

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