Slope-Intercept Form
Using your whiteboard, please graph the equation y=-(4/3)x-2
Slope of -4/3
Y-intercept of -2
Using your whiteboard, graph the line
y-2=3(x-1)
(1,2) and slope of 3
What is the x-intercept of the line
6x-3y=24?
x=4
What will be the slope of a line PARALLEL to the equation
y=(2/5)x-1?
2/5
What is the equation for slope intercept form? Define every variable!
y=mx+b;m is slope and b is y-intercept
What is the slope of the line
y=-3x+7?
-3
What is the equation in point-slope form of the line that passes through the point (1,-1) and has a slope of 4?
y+1=4(x-1)
Using your white board, graph the line 3x+6y=12.
x-intercept of 4
y-intercept of 2
What is the slope of the line that is PERPENDICULAR to
y=(2/5)x-1?
-5/2
Y-intercept is when x=0. Often times, this is called the initial value.
True or false?
TRUE
Find the equation of the line in slope intercept form that passes through (-2,0) and (2,-4).
y=-1x-2
What is the slope and a point on the line of the equation
y-1=-2(x+2)
(-2,1); slope of -2
Write the equation in standard form:
y=(2/3)x-6
2x-3y=18
Write an equation of a graph that is parallel to 2x-y=-1 and passes through the point (1,-3).
y=2x-5
What is special about the requirements of A,B, and C for standard form?
Ax+By=C
A must be a positive integer
B and C must be integers
Write the slope-intercept form of an equation for a line with y-intercept -5 and slope 2.
y=2x-5
Write an equation in point slope form that represents the line Ms. Toupin graphs on the board.
y-5=-2(x)
Using your whiteboard, graph the two lines:
4y=16
and
3x=27
y=4: horizontal line
x=9: vertical line
Write an equation in slope-intercept form of a line that passes through (-2,2) and is perpendicular to the graph
y=(1/2)x-3
y=-2x-2
y+4=6(x+1)
This line has a slope of 6 and passes through the point (1,4).
True or False?
FALSE!
It passes through the point (-1,-4)
Rachel hikes at a steady rate from a ranger station to a campground that is 20 miles away. After 2 hours, she is 13 miles from the campground. After 4 hours, she is 6 miles from the campground. A graph shows her distance y from the campground, in miles, after x hours. What is the slope of the graph, and what does it represent?
-7/2; Each hour she travels 7/2 miles away from the ranger station.
Ms. Toupin is buying her classes stickers! She buys 30 stickers for $15 and 45 stickers for $22.50. Write an equation in point-slope form to model the situation.
y-45=1/2(x-30)
or
y-30=1/2(x-15)
The glee club has $90 to spend on pens and pencils. Each pen costs $0.75 and each pencil costs $0.15. Let x represent the number of pens, and let y represent the number of pencils.
Write an equation that describe the number of pens and pencils that the glee club can buy. What is the greatest number of each writing tool that the club can buy?
0.75x+0.15y=90
Are the lines
x+2y=4 and y=2x-2
parallel, perpendicular, or neither?
Perpendicular
Mr. Escalante, our Mathematician of the Month, said parallel and perpendicular lines tell two different love stories.
On your white board, sketch an example of perpendicular lines and an example of parallel lines.
Parallel lines never meet
Perpendicular lines are just right ;)