Flashcards in Algebra 1 Unit 4 Deck (52)
What is rate of change?
A ratio that shows how one variable changes with respect to another
How is slope written?
As a ratio of the vertical change (Rise) to the horizontal (Run) between any two points on a line
Slope is the what for any two points on the same line?
It is the constant
Slope should be written how?
As a fraction in simplest form
What is the variable for slope?
What are the four types of slope?
Positive, Negative, Zero, and Undefined
The main formula for slope on a graph is ...
M = Rise over Run
The slope formula when given two points is ...
M = y - y over x - x
What is a linear equation?
It is a straight line (not a curve), and the x is not squared or cubed.
What are the three forms of a line?
slope-intercept, point-slope, standard
What is the point slope form?
y-y = m (x-x)
What is the slope intercept form?
What is the standard form?
y-y=m(x-x) what form?
y=mx+b what form?
Ax+By=C What form?
Why is it called "point-slope" form?
it has a hidden point and a slope in it
Why is it called "slope-intercept" form?
it has a slope and an intercept in it
How do you find the hidden point in point slope form? y-y=m(x-x)
to get your (x,y), take the opposite of the number next to the x to get your x, and take the opposite of the number next to the y to get your y
How do you find the points in Standard Form?
(0, __) and ( ,0).
use (0, ) to get the y intercept and (__,0) to get the x intercept.
How do you find the slope in Standard Form?
m = -A/B (opposite of A over B)
How can you find the y intercept in any form?
You can always just plug a zero in for x and then solve for y. (0, __).
How can you find the x intercept in any form?
You can always just plug a zero in for y and then solve for x. (__ ,0)
what do you call something that goes straight up and down?
What dod you call something that goes from left to right?
HORIZONTAL (like looking along the horizon)
What is the name of the point (0,0) ?
What does VERTICAL mean?
goes straight up and down
What does HORIZONTAL mean?
goes from left to right
What is the origin?