Points on lines
Name the coordinates of any point that would be on the line described by the equation y = 4x - 1
(0, -1) or any other acceptable answer
What is the equation for a line that has a slope of -3 and a y-intercept of (0, -5)
y = -3x - 5
This is the same as using point-slope form. y + 5 = -3(x - 0)
The line y = 3x + 1 passes through the point (10, 31). If y represents the amount of money in my wallet after x days, interpret the point given using words.
After 10 days, I have 31 dollars in my wallet
In the line y = -4x + 2, what is the slope?
-4
How old am I?
25
Name the coordinates of any point that would be on the line described by the equation 2x - 3y = -6
Answers may vary. The two intercepts are (0, 2) and (-3, 0)
The equation for a line written in standard form is 4x - 2y = 10. What is this this same line but rewritten in slope-intercept form (y = mx + b)?
y = 2x - 5
The equation 8x + y = 100 can be used to estimate my phone battery percentage (y) after x hours since it was fully charged
Give a point on the line and explain what it means in the context of the problem.
Answers vary
(0, 100) 0 hours since full charge, the phone is at 100%
(1, 92) 1 hour since full charge, the phone is at 92%
Line AB is parallel to line CD. Line CD has a slope of -5.
What is the slope of line AB?
-5
Which of these pop artists would I say is my least favorite:
a) Dua Lipa
b) Taylor Swift
c) Charli xcx
d) Chappell Roan
Taylor Swift
What is the x-intercept AND y-intercept of the line y = -x + 1/2
(0, 1/2) is the y-intercept. (1/2, 0 is the x-intercept).
What is the equation of a line that has a slope of 2 and passes through the point (3, 10). Write it in any form.
y - 10 = 2(x - 3)
Written in slope-intercept, y = 2x + 4
My water bottle has a leak in it :(
Assuming water flows out linearly according to the equation y = -2.5x + 32, the bottle will have y = 9.5 ounces remaining after how many hours?
x = 9 hours
If a line has a slope of -3, what is the slope of a line perpendicular to that one?
1/3
What grade did I teach before working here?
7th grade
What is the x-intercept AND y-intercept of the equation y - 5 = 4(x + 2)
(0, 13) is the y-intercept and (-13/4, 0) is the x-intercept
What is the equation of a line that passes through the points (0, 4) and (-2, 5)? Write in any form.
y = -1/2x + 4 because you can solve for the slope and it is -1/2
You could also write your answer in point-slope form as y - 5 = -1/2(x + 2)
The equation to convert from Fahrenheit to Celsius is F = 9C/5 + 32
If it is 77 degrees Fahrenheit out, what temperature would that be expressed as in Britian (and most of the rest of the world)?
25 C because 77 - 32 = 45. Then multiply by 5/9.
Line PQ is parallel to line XY. XY passes through the points (-1, 10) and (3, 18)
What is the slope of line PQ?
2
What other two math classes do I teach?
Geometry and Algebra 3
Using the equation y + 10 = 4(x - 5), which of these points is actually on the line?
a. (5, 10)
b. (10, 20)
c. (10, 10)
d. (15, 40)
c. (10, 10) because
10 + 10 = 4(10 - 5)
20 = 20
Write the equation of the line that passes through the points (-2, -4) and (6, 0) in slope-intercept form.
y = 1/2x - 3 because...
The slope is 1/2
An equation is point-slope form is y = 1/2(x - 6)
So, in slope-intercept form, y = 1/2x - 3
If I drop an object from a plane, its velocity can be found by the equation v = 9.8t
If t = seconds and v = velocity in meters/second, Interpret the slope of this line using words.
The velocity of a falling object will increase 9.8 meters/second every 1 second due to gravity (which we call gravitational acceleration)
Line FG is perpendicular to line HI. Line HI passes through the points (-6, 11) and (4, 31)
What is the slope of line FG?
-1/2
How many siblings do I have?
2 (older and younger brother)