warm up solve for y when x = 0. 1.y = 8x – 2 2.6x + y = 2 3.2x – 3y + 6 = 0 4.4x – 2y = 1...
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Warm UpSolve for y when x = 0. 1. y = 8x – 2
2. 6x + y = 2
3. 2x – 3y + 6 = 0
4. 4x – 2y = 1
5. -7x – 14y -5 = 0
Advanced Algebra Trigonometry Appendix B
Objective: SWBAT graph equations by using the x and y-intercepts and point plotting.
Linear Equations
A linear equation in slope intercept form has the form:
y = mx + b
(x, y) = a solution of the equation (an ordered pair)m = slope (steepness of a line)
b = y-intercept * The graph of a linear equation is a line*
x-intercepts and y-interceptsx-intercept:
Where the line crosses the x-axis. (x, 0). To find the x-intercept, plug in zero for y and solve.
y-intercept:Where the line crosses the y-axis. (0, y). To find the y-intercept, plug in zero
for x and solve.
Linear EquationsFind four solutions for the following linear equations. Then graph the
equation.
1. y = 2. y = 4x – 1 43
5x
x-intercepts and y-interceptsFind the x and y-intercepts of the following equations:
1. 4x – 5y = 20 2. -6x + 8y = -36
How to Graph an Equation1. Isolate (get alone) one of the variables if possible (usually
y)
2. Find the x and y intercepts by plugging 0 in for y and then for x like we did on the previous screen (sometimes easier to do this before you isolate a variable)
3. Make a table of values choosing four x values and find corresponding y values (if you isolated x then choose some y values and find corresponding x values)
4. Plot these points and join in a smooth curve or line
Linear EquationsGraph the linear eqution:
1. 3 + y = -2x
x2 + y2 = r2
Find the x and y-intercepts of:x2 + y2 = 9
Graph the equation. What does it make?
Homework
Page 447-449# 21, 22, 23 and 43-46 (all)
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