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Graphing Linear Equations By: Christine Berg Edited By: VTHamilton
Linear Equation An equation for which the graph is a line
Solution Any ordered pair of numbers that makes a linear equation true. (9,0) IS ONE SOLUTION FOR Y = X - 9
Linear Equation Example: y = x + 3
Graphing Step 1: ~ Three Point Method ~ Choose 3 values for x
Graphing Step 2: Find solutions using table y = x + 3 Y | X 0 1 2
Graphing Step 3: Graph the points from the table (0,3) (1,4) (2,5)
Graphing Step 4: Draw a line to connect them
Try These Graph using a table (3 point method) 1) y = x + 3 2) y = x - 4
X-intercept Where the line crosses the x-axis
X-intercept The x-intercept has a y coordinate of ZERO
X-intercept To find the x- intercept, plug in ZERO for y and solve
Slope Describes the steepness of a line
Slope Equal to: Rise Run
Rise The change vertically, the change in y
Run The change horizontally or the change in x
Finding Slope Step 1: Find 2 points on a line (2, 3) (5, 4) (x 1, y 1 ) (x 2, y 2 )
Finding Slope Step 2: Find the RISE between these 2 points Y 2 - Y 1 = 4 - 3 = 1
Finding Slope Step 3: Find the RUN between these 2 points X 2 - X 1 = 5 - 2 = 3
Finding Slope Step 4: Write the RISE over RUN as a ratio Y 2 - Y 1 = 1 X 2 - X 1 3
Y-intercept Where the line crosses the y-axis
Y-intercept The y-intercept has an x-coordinate of ZERO
Y-intercept To find the y- intercept, plug in ZERO for x and solve
Slope-Intercept y = mx + b m = slope b = y-intercept
Step 1: Mark a point on the y-intercept
Step 2: Define slope as a fraction...
Step 3: Numerator is the vertical change (RISE)
Step 4: Denominator is the horizontal change (RUN)
Step 5: Graph at least 3 points and connect the dots
Objective - To graph linear equations using the slope and y-intercept.
WARM UP 1. Explain how to graph a linear equation written in slope-intercept form. 2. Explain how to graph a linear equation written in point-slope form.
Section 3-5 Lines in the Coordinate Plane SPI 21C: apply concept of rate of change to solve real-world problems SPI 21D:
3.7 Equations of Lines in the Coordinate Plane
An equation for which the graph is a line Any ordered pair of numbers that makes a linear equation true. (9,0) IS ONE SOLUTION FOR Y = X - 9.
Slope and y-intercept. Lines have both slope (m) and a y-intercept (b). Slope describes the steepness of the line as well as its direction. Positive.
The Linear Function.
2-3 Slope Slope indicates the steepness of a line.
Linear Equations Unit. Lines contain an infinite number of points. These points are solutions to the equations that represent the lines. To find.
4.7 Graphing Lines Using Slope Intercept Form
Graph a linear equation Graph: 2x – 3y = -12 Solve for y so the equation looks like y = mx + b - 3y = -2x – 12 Subtract 2x to both sides. y = x + 4 Divide.
Don’t forget to show your work!. Slope-Intercept Form Section 3.6.
The equation of a line - Equation of a line - Slope - Y intercept
3-5 Lines in the coordinate plane M11. B
Slope and Rate of Change Equations of Lines
Compound Inequalities A compound Inequality is when you have your variable is compared to two different values. There are two ways that you will see compound.
Slope Intercept Form.
Finding Slope from… A graph An equation Essential Question: Describe the two parts of a linear equation in terms of y intercept and slope.
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