Slope-Intercept Form
What is slope-intercept form?
y = mx + b
What is point-slope form?
y - y1 = m (x - x1)
Lines with the same slope are __________.
Parallel
In a scatter plot, the points lie close to a line. As x increases, y increases. Describe the correlation.
Positive correlation.
Write the next three terms in the arithmetic sequence.
6, 12, 18, 24, ...
30, 36, 42
Write an equation in slope-intercept form for the line with a y-intercept of 4 and a slope of 5.
y = 5x + 4
Write an equation in point-slope form of the line that passes through the point (4, 7) and has a slope of -1.
y - 7 = -1(x - 4)
Opposite reciprocals
In a scatter plot, the points lie close to a line. As x increases, y decreases. Describe the correlation.
Negative correlation.
Write the next three terms for the arithmetic sequence.
-9, -6, -3, 0, ...
3, 6, 9
Write an equation in slope intercept form for the line through (0, 3) and (3, 5)
y = 2/3x + 3
Write an equation in point slope form for a line that passes through (4, -5) and has a slope of 2.
y + 5 = 2 (x -4)
Line a: (0, 4) and (4, 3)
Line b: (0, 1) and (4, 0)
Line c: (2, 0) and (4, 4)
In a scatter plot, the points show no pattern. Describe the correlation.
No correlation.
Write an equation for the nth term of the arithmetic sequence.
6, 12, 18, 24, ...
an = 6 + 6(n -1) or an = 6n
y = -1/2x + 1
Write a linear function f with the values
f(10) = 5 and f(2) = -3
Write an equation in slope-intercept form for the line that passes through (1, 5) and is parallel to the line y = -4x + 2.
y = -4x + 9
Describe the correlation.
Amount of rainfall and number of people outside playing tennis.
Negative correlation
Write an equation for the nth term of the arithmetic sequence.
-9, -6, -3, 0, ...
an= -9 +3(n-1) or an = -12 + 3n
A landlord charged $865 per month to rent an apartment in 2010. The rent increased at a constant rate and reached $1065 per month in 2018. Estimate the monthly rent in 2025.
$1,240
Write a linear function f with the values
f(6) = 8 and f(9) = 3
f(x) -5/3x + 18
Write an equation in slope-intercept form for the line that passes through (2, -3) and is perpendicular to the line y = -2x - 3.
y = 1/2x - 4
Describe the correlation.
Number of candy bars eaten and amount of sugar consumed.
Positive correlation. It's causal too!
Find the 40th term of the arithmetic sequence below.
-9, -6, -3, 0, ...
108