Writing equations
Write and equation in slope intercept form of a line with m=-3 and b=-15.
y=-3x-15
Graph the following equation:
y=8
Teacher will check
zero slope
line goes through 8 on the y axis.
What is the slope parallel to a line with a slope of m=12
m=12
If y varies directly as x, x=3 when y=15. What is y when x=7?
y=35
What is the best subject in the world?
Math, duhh!
Write an equation of a line in point-slope form that has a slope of 6/7 and goes through the point (-6,7)
y-7=6/7(x+6)
Graph the following equation.
x=9
Teacher will check your answer.
undefined slope
line goes through 9 on the x-axis
What is the slope of a line parallel to m=5/2
m=5/2
The value of y varies directly with x, when x=1/2 y=3/4. Find y when x =5/6. Leave your answer as a fraction
y=5/4
If you are given a point and a slope, what linear equation form should we start with?
point-slope form
Write a linear equation in slope intercept form of the line that has a slope of 6 and passes through the point (-10, 12).
y=6x+72
Make a sketch of the graph of y=3x+2 on the graph paper provided.
Teacher will check
slope is 3
rise/run is 3/1
b=2
What is the slope perpendicular to the line y=-4/3x+1/2
m=3/4
Suppose that y varies directly as x. If y=20 when x=5.
what is the constant of variation?
k=4
What are the calculator keys for graphing an equation in slope-intercept form and looking at the table?
Graph: enter f(x)=mx+b
Table: Ctrl T
Write an equation in standard form of a line that passes through the points (2,3) and (4,7)
2x-y=1
Make a sketch of the graph of y=2/3x-4 on the graph paper provided.
Teacher will check your answer
positive slope
y-int: -4
rise/run: 2/3
What is the slope of a line parallel to x=2
undefined
Suppose that y varies directly as x. If y=-54 when x=4.5.
What is the constant of variation and the value of y when x =5.5?
k=-12
y=-66
Explain the process of writing an equation from a graph in slope intercept form?
Pick 2 perfect points to find m and b.
m: count from the point on the left to the point on the right the rise/run or use the slope formula with the 2 points.
b: y-intercept is where the line crosses the y-axis
A car’s value decreases linearly over time. When the car was new, it was worth $20,200. After 4 years, the car is now worth $12,000. Write a linear equation in slope intercept form to represent this scenario.
y = -2,050x + 20,200
Make a sketch of the graph of y-3=-5(x+2) on the graph paper provided.
Teacher will check
Slope is -5
y intercept is -7
goes through the point (-2, 3)
What is the slope of a line perpendicular to y=3
undefined
The value of y varies directly with x. When x= 1/4, the value of y =5/6.
What is the constant of variation and the value of y when x=2/5
k=10/3
y=4/3
Find the equation of the table.
x -2 1.5
y 8 -6
y=-4x