Slope
Find the slope of the line through the points (2, 5) and (4, 9).
(y2 - y1)/ (x2 - x1)
(9-5)/(4-2)= 4/2= 2
Find the y-intercept of:
y = 6x – 8
y= mx + b
b= y-intercept
b=-8
Is the relation linear or nonlinear?
y = –4x² + 5
nonlinear
Identify the direction of opening for:
y = 3x² – 9
Opens upward
Which is linear?
A) y = 2x – 5
B) y = x² – 4
A) y = 2x – 5
A line passes through (–3, 2) and (–2, –5). What is the slope?
(y2 - y1)/ (x2 - x1)
(-5-2)/(-2--3)
= -7/1
= -7
The y-intercept is also called the ______ value.
Initial value or starting value or y value when x=0
A line has slope 0. What type of line is this?
Horizontal line
What is the vertex of:
y = (x – 2)² + 5
(2, 5)
Which graph shows a constant rate of change?
Line or parabola?
Line
Which line goes down from left to right?
A) slope = 5
B) slope = –3
B) slope = –3
Identify the y-intercept from given points
(-1,3), (2,0), (4,-1), (0,2), (-2, -3)
(0,2)- point on y-axis when x=0
If slope = –3, is the line increasing or decreasing?
decreasing
A quadratic graph is shaped like what?
A parabola
A runner moves at a constant speed.
A ball is thrown into the air and comes back down.
Which is linear and which is quadratic?
Runner → Linear
Ball’s motion → Quadratic
A line has a slope of –3 and goes through point (0,4). Write its slope-intercept form.
y=mx + b
y=-3x + 4
A plant starts at 15 cm tall and grows 3 cm per week.
Identify the y-intercept.
y-intercept: 15 cm
A cooler starts at 40°F and warms up at a constant rate.
Temperatures only go up.
What is the range?
y≥40
What is the y-intercept of
y=x2−5x+6?
(0,6)
Find the average rate of change between the points
(2,5) and (4,11).
(y2- y1 ) / (x2 - x1)
(11−5 ) / (4−2)
=6/2
=3
A taxi company charges a $5 starting fee plus $2.50 per mile. Write the equation.
y= mx + b
y= 2.50x + 5
Which of the following points lies on the line
y=4x−3?
A) (1, 1)
B) (2, 5)
C) (3, 9)
5 = 4 * 2 -3
B) (2, 5)
What is the domain of
y=−2x+1?
All real numbers
What is the axis of symmetry for
y=(x+3)2−1?
x=−3
A ball's height is modeled by h(t) = –5t² + 20t + 3.
Is the motion linear or quadratic?
What does the negative coefficient mean?
Quadratic; the ball will rise then fall (downward-opening parabola).