Topic 2 Vocabulary
This point represents the b term in y=mx+b.
What is the y-intercept?
This number is the y-intercept of the equation y=-3/4+8
What is b=8?
If you added the point (4,3) into y-y1=2(x-x1), this is what would the equation look like.
What is y-3=2(x-4)?
This number represents the y-intercept in the equation ax+by=c.
What is the c-term?
What do the slopes need to have in common to be parallel?
They need to have the same slopes.
y=mx+b
What is Slope-Intercept Form?
Using the points (0,3) and (1,5), find the equation in slope-intercept form.
What is y=2x+3?
This is y-6=2(x-5) in slope-intercept form.
What is y=2x-4?
Convert 4x+2y=8 into slope-intercept form.
What is y=-2x+4?
What do the slopes need to be to be perpendicular?
One slope needs to be the opposite reciprocal of the other slope.
y-y1=m(x-x1)
What is Point-Slope Form?
Using the points (0,5) and (1,2), find the equation in slope-intercept form.
What is y=-3x+5?
If you add the point (-3,7), what would the equation used, y-y1=3(x-x1), look like?
What is y+7=3(x-3)?
Write -49x+7y=77 into slope-intercept form.
Determine whether these 2 equations are parallel or perpendicular.
y=5x+10 and y=5x+3
They are parallel.
ax+by=c
What is Standard Form?
There are 4 types of slopes: one from bottom left to top right, one from top left to bottom right, one that is horizontal, and on that is vertical.
What are positive, negative, zero, and undefined slopes?
Convert y=6x+3 into point-slope form.
What are the equations y-3=6(x) or y-9=6(x-1)?
Write 3x+5y=25 into slope-intercept form.
What is y=-3/5x+5?
Determine if these 2 slopes are parallel or perpendicular.
y=-2x+9 and y=1/2x+6
They are perpendicular.
These are 2 types of lines you would find on a graph, one occasion where both lines don't touch, and the other where both lines intersect at the same point.
What are parallel and perpendicular lines?
Kaylee uses y=mx+b to solve a graph. The points she plotted were (0,7) and (1,9). Write the equation Kaylee used to get those points.
What is y=2x+7?
Rosie has the equation y+2=2(x-1). She wants to convert it to slope-intercept form. This equation would be used.
What is y=2x-4?
A student was instructed to convert the equation y=-2x+12 into standard form. The student said the equation is 2x+12y. Describe the error the student made and determine the correct answer.
The student subtracted 12 from y
Alessandra has 2 equations, y=x+1, and y=-x+2. She wants to find out whether these 2 equations are parallel or perpendicular. Determine whether the equations are parallel or perpendicular.
The equations are perpendicular.