Evaluate:
-2 - 5
-7
What form of equations do we use for lines?
y = mx + b or slope intercept form.
How do you write something in Point Slope Form?
y-y1=m(x-x1)
Ax+By=C
Solve for x:
3x - 2 = -14
x = -4
Write an equation for a vertical line through the point (-3, 3)
x = -3
Write the equation in point slope form of a line that passes through the given point and has the given slope
(1,2) m=-4
y-2=-4(x-1)
x+3y=-3
X=-3
Name three ways to describe slope.
Possible answers:
rate of change
rise over run
y - y/x - x
slope = m in y = mx + b
What is the slope of this equation?
x = 5
Undefined Slope
Write an equation for a line with the following slope and points.
m = 2/3 and (0, -2), (3, 0)
y = 2/3x - 2
Write the equation in point slope form:
(-1,-4); =-2
y+4=-2(x+1)
or
y-(-4)=-2(x-(-1))
Find the Y intercept of the following equation:
2x-y=8
y=8
Graph the following equation. 8x + 4y = 16
Should be rewritten as y = -2x + 4 and then graphed.
Write an equation for a line with the following two points. Find the slope and y intercept. (15, -10) (5, 10)
slope = -2 y intercept = 20
y = -2x + 20
Write the linear equation of a point that goes through (4,8) with a slope of m=3/4
y=3/4x+5
15x-12y=60
x= (4,0) or 4
y= (0,5) or 5
Is x = 2 a solution to the equation 2(x - 5) + 3 = 13 ?
No it is not a solution.
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.
M=2
y-4=2(x-2)
y=2x
You have $6 to spend on apples and bananas. The equation 1.5x + .6y = 6 represents this situation, where x is the number of pounds of apples and y in the number of pounds of bananas. Find the x and y intercepts
x=4 or (4,0)
y=10 or (0,10)