Slope-Intercept
What is slope-intercept form?
y=mx+b
What is point-slope form?
y-y1=m(x-x1)
What is standard form?
Ax+By=C
What do you now about the slopes of parallel lines?
same
In math, what does inverse mean?
opposite
Write a slope-intercept equation with a slope of -2 and a y-intercept of 4.
y=-2x+4
Write a point-slope equation for a line passing through (-2,7) with a slope of 3.
y-7=3(x+2)
What can standard form not have?
Fractions or a negative in front of x.
What do you know about the slopes of perpendicular lines?
(1, 4) (-3, 5) (6,-1)
(4,1)
(5,-3)
(-1,6)
Write a slope-intercept equation with a slope of -2 and passes through the point (4,5).
y=-2x+13
Write a point-slope equation for a line that passes through (-4,9) and (1,5).
y-9=-4/5(x+4)
y-5=-4/5(x-1)
Write y=4x-9 in standard form.
4x-y=9
What is an outlier?
A point that is not anywhere near the rest of the data.
What are the four steps to finding an inverse equation?
2. Switch x and y
3. Solve for y
4. Replace y with f-1(x)
A person's cable bill is $93.46 per month. The person can rent a movie for $3 per movie. Write an equation to show a person's total cable bill y if renting x movies.
y=3x+93.46
Write the point-slope equation in slope-intercept form.
y+4=-2(x-6)
y=-2x+8
Write y-6=-2(x+7) in standard form.
2x+y=-8
What are the three different correlations for a scatter plot?
Find the inverse fo the function:
f(x)=5x+10
f-1(x)=(x-10)/5
Write a slope-intercept equation for a line that passes through (-3,8) and (4,-6).
y=-2x+2
Nadia's book club is ordering new novels. 5 books costs $61.25 and 15 books costs $159.75. Write a point-slope equation the total cost y of ordering x books.
y-61.25=9.85(x-5)
y-259.75=9.85(x-15)
Write a standard form equation for a line that passes through (-1,3) and (2,-3).
2x+y=1
What is the correlation coefficient used for?
To determine how well an equation represents data.
Find the inverse of the function:
f(x)=-2/3x-8
f-1(x)=-3/2x-12
f-1(x)=-3/2(x+8)