Slope-Intercept From
What is slope-intercept form?
What is...
y=mx+b
Identify the slope of the line given by the equation
y - 5 = -2(x+5)
AND identify one point on the line
What is...
m= -2
(-5,5)
What is standard form?
What is...
Ax+By=C
If two nonvertical lines have the same slope, then they are _______
What is...
Parallel
Make a scatter plot for the points (1,5), (1,7) (3,10) (4,15), (5, 20)
Does the x & y show a positive correlation, negative correlation, or relatively no correlation?
What is...
Positive correlation
Write an equation in slope-intercept form given; m= -3 and b=5
What is...
y= -3x + 5
Write an equation in point-slope form given;
(-8,2) , m=5
What is...
y - 2 = 5(x + 8)
or
y - 2 = 5(x-(-8))
Write an equation for a horizontal and vertical line that passes through the given point (-8,-9)
What is...
y= -9
x = -8
Which statement is true of the given lines?
Line a: -2x + 1y = 4
Line b: 2x + 5y = 2
Line c: x + 2y = 4
A. Lines a & b are parallel
B. Lines a & b are perpendicular
C. Lines a & c are parallel
D. Lines a & c are perpendicular
What is...
D
To use a line of fit to model data, what is step 1 ?
What is...
Make a scatter plot
Write an equation in slope-intercept form given; (1,1) and m= 3
What is...
y=3x - 2
(6, -2) & (12, 1)
What is...
y - 1 = 1/2 (x - 6)
or
y - 1 = 1/2 (x - 12)
Write an equation in standard form that is equivalent to the given equation
-2x + 4y = -5
What is...
Answers may vary
Write an equation for a line that passes through the point (-9,2) and is perpendicular to y= 3x - 12
What is...
y= -1/3x - 1
A ________ is a graph used to determine whether there is a relationship between paired data.
What is..
scatter plot
Write an equation in slope-intercept form given; (3,2) & (4,9)
What is...
y=7x-19
y + 8 = - (x + 4)
What is...
Check with teacher
The graph of the equation Ax + 2y = -2 is a line that passes through (-2,2). What is the value of A?
What is...
3
What equation represents the line that passes through (0,0) and is parallel to the line passing through (2,3) and (6,1)?
A. y = 1/2x
B. y = -1/2x
C. y = -2x
D. y = 2x
What is...
B
Write an equation in slope-intercept form of the line that passes through (-2,-8) and has m = 3
What is...
y = 3x - 2
Decide whether all 3 points lie on the same line.
If they do, write an equation in slope-intercept form.
If they do not, explain how you know.
(2,2) (-4,5) (6,1)
What is..
No, they do not all fall on the same line BECAUSE if you find the equation for the first 2 points (y=-1/2x+3) and use the 3rd point (6,1) to check if it's a solution of the line, 1 does not equal 0.
Convert the equation to slope-intercept form
y - 5 = 3 (x - 1)
What is...
y = 3x + 2
Find the missing coefficient in the equation of the line that passes through the given point.
8x + By = 4, (-5,4)
What is...
B=11
8x + 11y = 4
What could be a possible equation of a line that is perpendicular to y = 4x + 7
What is...
y = -1/4x + (varies)
Write an equation in standard form of the line with a slope of 10, and passes through (6,2)
What is....
-10x + y = -58