2-1: Slope-Intercept Form
What is the equation for slope-intercept form?
y=mx+b
What is the equation for point-slope form?
y-y1=m(x-x1)
What is the equation for standard form?
Ax+By=C
A) What makes two linear equations parallel?
B) What makes two linear equations perpendicular?
A) The slopes of the equations are the same.
B) The slopes of the equations are negative reciprocals.
What line represents this linear equation?
-25y=-100
y=4
What is "b" in slope-intercept form?
The y-intercept.
Write the equation in point-slope form of the line that passes through the ordered pair with the given slope:
(-3,8); m=-2
y-8=-2(x+3)
Turn the following equation into standard form:
6y=10x-8
10x-6y=8
Are the following lines parallel, perpendicular or neither?
2x+2y=4
y=1/2x+2
Neither!
What do you need in order to write the equation of a line in point-slope form?
At least one ordered pair and the slope.
Using the following points, write an equation in slope-intercept form (SIMPLIFY + LEAVE AS FRACTIONS):
(2,4) and (10,16)
y=3/2x+1
Write the following equation into point-slope form:
y=-4x+6
y-6=-4(x-0)
What are the x and y-intercepts of the graph of 16x+25y=80? (Leave as simplified fractions if needed.)
x-intercept: 5; y-intercept: 16/5
Write an equation in slope-intercept form for the line that passes through the given point and is parallel to the graph of the given equation.
y=8x+36; (-6,8)
y=8x+56
TRUE OR FALSE: In standard form the value of "A" can be negative.
False! "A" must be positive!
Write the equation of the line that passes through the given points (SIMPLIFY + LEAVE AS FRACTIONS):
(0, -5) and (-3,-13)
y=8/3x-5
Write the following equation into point-slope form:
3x+2y=8
y-4=-3/2(x-0)
What are the x and y-intercepts of the following equation?
7x+8y=112
x-intercept=16; y-intercept=14
Write an equation in slope-intercept form for the line that passes through the given point and is perpendicular to the graph of the given equation. (LEAVE ANY NUMBERS IN YOUR ANSWER AS SIMPLIFIED FRACTIONS)
y-3=6(x-8); (4,2)
y=-1/6x+8/3
Use the two points to create an equation of a line written in standard form:
(2,18) and (-4,0)
3x-y=-12
Suppose that a bike rents for $4 plus $1.50 per hour.
A) Write an equation in slope-intercept form that models the situation.
B) What will the cost be if you rent the bike for 2.5 hours?
A) y=1.50x+4
B) $7.75
Write an equation in point-slope form of the line that passes through the given points:
(6,0) and (5,3)
y-0=-3(x-6) OR y-3=-3(x-5)
Amanda needs to buy 48 balloons for a party. What equation, in standard form, determines the number x of 4-packs of white balloons and the number y of 6-packs of red balloons that Amanda can buy?
4x+6y=48
Line b passes through point (-8,0) and is perpendicular to the graph of y=-4x+7. Line m is parallel to b and passes through point (-2,8). What is the equation in slope-intercept form of line m? (You can leave your answer as fractions or decimals)
m=1/4x+17/2 OR m=0.25x+8.5
BONUS: What month was Mrs. Burke born in?
January