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Practice determining equations, intercepts, and slopes of lines for a math test. Learn to solve word problems using slope-intercept equations efficiently.
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Tuesday February 9th Bell Ringer: What are the x and y intercepts of the graph below?
X intercept: 100 Point: (100,0)
Y intercept: 100 Point: (0,-200)
This week Monday: I CAN review calculating slope and graphing lines Tuesday: I CAN review determining equations of lines and intercepts Wednesday: Slope and equations of lines TEST
Today Tuesday: I CAN review determining equations of lines and intercepts Homework: STUDY
How to study • Look over notes • Redo the review sheets and homeworks • Make notecards • Use mrobyrne.com
Binders HAVE THEM TOMORROW Extra credit if you have them
How to solve word problems with Slope Put the information into (x,y) points and into equations of y=mx+b.
What is the equation of the line that contains these two points.
What we need? m=? b=?
Step 1: Find the slope of the line we have (-3,-1) and (6,-4)
What we need: m=-1/3 b=?
Step 2: Find b Replace m with -1/3
Continuing step 2: Find b Plug point (6,-4) for x and y Simplify and solve for b
Step 3: Write the equation What we need: m=-1/3 b=-2
Point Slope form m=slope coordinates of a point on the line
Write the point slope equation of a line that passes through (-1,5) and has a slope of -3. What we need: m=? Point=?
Write the point slope form of an equation for a line that passes through (-1,5) and has a slope of -3. What we need: m=-3 Point=(-1,5)
What we need: m=-3 Point=(-1,5) Replace m with -3 Plug in for x1 and y1
Simplify The equation in point slope form:
Example: What is the y intercept of the line To find the y-intercept let x=0 So, the y-intercept of this line is 2
Example: What is the x intercept of the line To find the x-intercept let y=0 So, the y-intercept of this line is 4