Write the Equation (Slope & Y-Intercept; Graphs)
Identify Slope and Y-Intercept (Equations; Graphs)
Types of Slopes
Graphing
Write the Equation (Slope & Point; Two Points)
100
(#3) Given the slope and y-intercept, write the equation of the line in slope-intercept form.
Slope = 7/8 Y-Intercept = -1
Equation of the Line:
y = 7/8x-1
100
(#1) Identify the slope and y-intercept from the following equation.
y = 5x-9
Slope (m) = 5 or 5/1
Y-Intercept (b) = -9
100
(#5) Look at the graph below. Determine if the slope is positive, negative, zero, or undefined.
The slope of the line is POSITIVE.
The line is going UPHILL from left to right!
100
(#9) A line has a slope of 2/3 , what is the RISE/RUN? (Determine up, down, how many, etc.)
RISE UP 2 (positive slope)
RUN RIGHT 3
100
(#17) Write the equation of the line that passes through (1, -2) and has a slope of 4.
y=4x-6
200
(#11) Look at the graph. Identify the slope and y-intercept then write the equation of the line.
Slope = -2 or -2/1 Y-Intercept = 4
Equation of the Line:
y = -2x+4
200
(#2) Identify the slope and y-intercept from the following equation.
y = 4 - 1/3x
Slope (m) = -1/3
Y-Intercept (b) = 4
200
(#6) What type of slope does a horizontal line have?
A horizontal line (↔) has a slope of ZERO.
200
(#10) A line has a slope of -4 , what is the RISE/RUN?
(Determine up, down, how many, etc.)
-4 can be written as -4/1
RISE DOWN 4 (negative slope)
RUN RIGHT 1
200
(#18) Write the equation of the line that passes through (-5, 3) and has a slope of 2/5
y=2/5x+5
300
(#12) Look at the graph. Identify the slope and y-intercept then write the equation of the line.
Slope = 0 or 0/1 Y-Intercept = -4
Equation of the Line:
y = -4
300
(#13) Identify the slope and y-intercept from the graph. Write the equation of the line.
Slope = 4/3 Y-Intercept = 2
Equation of the Line:
y = 4/3x+2
300
(#7) Draw an example of a line with an undefined slope.
ANY VERTICAL LINE (↕) has a slope that is UNDEFINED.
300
(#15) Graph the equation y=1/3x
y=1/3x can be written as y=1/3x+0
Plot a point at 0 (origin) for b (y-intercept).
Begin at b and use slope (m) to RISE UP 1 and RUN RIGHT 3 then plot your second point.
300
(#19) Write the equation of the line that passes through (-4, 2) and (5, -7).
y=-1x-2
400
(#4) Given the slope and y-intercept, write the equation of the line in slope-intercept form.
Slope = Undefined X-Intercept = 4
Equation of the Line:
x=4
400
(#14) Identify the slope and y-intercept from the graph. Write the equation of the line.
Slope (m) = Undefined Y-Intercept (b) = None
X-Intercept = -1
Equation of the Line:
x =-1
400
(#8) Which of the following four equations is possible for the graph below AND why?
y = 1/2x + 2 y = -4/5x + 1
y = 1 x = -2
The graph has a NEGATIVE SLOPE. The only answer with a negative slope is y=-4/5x+1 , therefore that is the correct choice.
400
(#16) Graph the equation y = -5x + 3
Plot a point at 3 on the y-axis for b (y-intercept).
Begin at b and use slope (m) to RISE DOWN 5 and RUN RIGHT 1 then plot your second point.
400
(#20) Write the equation of the line that passes through (-3, 3) and (3, 7).
y=2/3x+5