Finding Slope (2.1)
Identify the slope of the following equation. y = mx + b
slope= the variable m
y intercept= b
Graph the equation:
Identify the slope and the y intercept.
y=-(2/3)x+8
See Desmos
What is slope intercept form?
What is point slope?
y = mx + b
y-y1=m(x-x1)
Evaluate:
-2 - 12
-14
How do you know if two lines are parallel?
They have the same slope.
Explain the steps of graphing an equation in slope intercept form. Also how do you know if a slope is positive or negative by looking at a graph.
We begin at the y-intercept. Use rise over run.
If the line looks like it is going uphill, the slope is positive.
If the line looks like it is going downhill, the slope is negative.
Write an equation of a line that has a point (-2,10) and slope of -4.
y-10=-4(x+2)
Solve for d:
12c+2d=24
d=12-6c
Their slopes are opposite reciprocals.
Write an equation in slope intercept form for this problem:
A water tank already contains 55 gallons of water when Baxter begins to fill it. Water flows into the tank at a rate of 8 gallons per minute
y=8x+55
Graph the following equation:
y-5=1/8(x+4)
Rewrite this equation in slope-intercept form. x + y = -12
y = -x - 12
Yuson must complete 30 hours of community service. She does 2 hours each day. Write a linear equation in the form y=mx+b.
y=2x+30
Write an equation in slope intercept form that passes though the point (-2,4) that is PARALLEL to the line y = –3x + 10
y=-3x-2
Graph the following equation. Include at least three points. y = -2
Graph should begin with a point on the y-axis at -2. A horizontal line should be drawn through -2 extending on both sides of the y-axis.
Rewrite the following equation in slope-intercept form. 3x + 6y = -18
y = -1/2x - 3
Graph the following equation. 8x + 4y = 16
Find the x and y intercepts
x intercept: (2,0)
y intercept: (0,4)
See desmos
Write an equation in slope intercept form that passes though the point (4,2) that is PERPENDICULAR to the line y =(1/2)x+1
y=-2x+10
Find the x and y intercept of the following equation:
12x+3y=24
Then graph.
X intercept: (2,0)
Y Intercept: (0,8)
Rewrite the following equation in standard form:
y-5=(3/2)(x + 6)
3/2x-y=-14
Explain what happens when y=a number. Then explain what happens when x=a number.
Examples: What type of line is y=4? What type of line is x=4?
y=4 is a horizontal line
x=4 is a vertical line
BONUS DOUBLE!!
The amount y(in dollars) of money you have left after playing x games at a carnival is y = -0.75x + 10. How much money do you have after playing eight games? Graph the equation and show your explanation.
y = -0.75(8) + 10 y = -6 + 10 y = 4 $4 dollars left after playing 8 games. Graph should begin at (0, 10) on the y-axis and move down three and four to the right.