Slope Intercept Form
What is the slope in the equation y=2x+3?
2
Write the point-slope form of a line that passes through the point (1, 2) with a slope of 4.
y−2=4(x−1)
Write the standard form of the equation for a line with a slope of 2 and y-intercept of -3.
-2x+y=-3
What is the vertex of the absolute value function y=∣x−3∣+2?
(3, -2)
Solve ∣x−3∣=5.
Answer: x=8 , x=−2
Convert the equation y−4=−3(x−2)y - 4 to slope-intercept form.
y=−3x+10
Convert the point-slope equation y−3=−2(x+1) to slope-intercept form?
y=−2x+1
What is the general format of a standard form equation?
Ax+By=C
Identify the vertex of the equation y=−∣x+4∣+1.
(-4, 1)
Solve ∣2x+1∣=7.
x = 3, x =-4
In the slope-intercept form y=mx+b, what does b represent?
y-intercept
What is the formula for point-slope form?
y−y1=m(x−x1)
Convert −6x=-3y + 9 to standard form.
-6x+3y= 9
Describe the shifts y=−∣x+4∣+1
Opens up
Left 4
Up 1
What is the first step in solving ∣x+2∣-3 =4?
Add 3 to both sides
What is the y-intercept of the line represented by y=1/2x−5? Hint ordered pair form.
(0, -5)
If the slope is 5 and the line passes through (2, 6), write the equation in point-slope form.
y−6=5(x−2)
What are the restrictions on A, B, and C in standard form?
A, B, and C are integers, no fractions or decimals.
A and B cannot both be zero.
If the equation is y=∣2x−4∣, what is the vertex?
(4, 0)
Solve ∣3x−5∣+2=-7.
No Solution
Graph the equation y=−1/3x+2 and identify the slope and y-intercept.
Slope: -1/3
y-intercept: (0, 2)
Identify the slope and point from the equation y+1=−12(x−3).
Slope: -1/2; Point: (3, -1)
Given the equation 4x+2y=8, what is the slope of the line?
-2
What does the value of a tell you about the vertex's orientation?
Positive: opens up
Negative: opens down
Explain why the equation ∣x∣=−3 has no solution.
Absolute value cannot be negative.