Slope Intercept Form
How do you write slope intercept form?
y=mx+b
How do you write in point slope form?
y-y1=m(x-x1)
How do you write in standard form?
Ax+By=C
What is true about the slopes of parallel lines?
They are the same
What is true about the slopes of perpendicular lines?
They are negative reciprocals
Graph y=(-4/3)x-2
See graph
Write an equation in point slope form that goes through (-3,-5) and has a slope of -2
y+5=-2(x+3)
We use the standard form of a line to get what information about the line?
the x and y intercepts
What is the slope of the line parallel to y=(2/3)x+19
2/3
Write an equation that is perpendicular to y+4=(-2/3)(x-2) and goes through the point (4,-2)
y=(3/2)x-8
Write an equation through the points (9,2) and(-3,-2)
y=1/3x-1
Write an equation in point slope form that goes through the points (-5,1) and (3,4)
y-4=3/8(x-3)
Graph the equation -3x-6y=12
see graph
Write the equation for the line that is parallel to y+4=(-2/3)(x-2) and goes through the point (4,-2)
y=(-2/3)x+(2/3)
Give equations that could be perpendicular to the line -2y=44
answers will vary
At 2 hours before sunset, the temperature 0 degrees. At 2 hours after sunset, the temperature is -4 degrees. Identify the equation that could represent the temperature
y=-1x-2
Why does it not matter which point you use to write an equation in point slope form when given two points?
Because a line that goes through both points has a constant slope
What points represent the x and y intercepts in the equation 4x-5y=80
(20,0) and (0,-16)
The sidewalks on both sides of Peach St. are parallel. One sidewalk can be modeled by the equation 2x-y=-1. What equation could model the other sidewalk?
y=-2x+8
The partial blueprint for an office building shows on outer wall and a perpendicular inner wall. What would the equation of the inner wall be if the outer wall is represented by y=(2/5)x-1
y=(-5/2)x-4