Flashcards in Graphing Linear Equations (all three forms) Deck (65)
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, __) 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)
What is a trick to identify the correct form?
Look at the equal sign. What is to the left?
just a y ? then slope intercept
a y + or - something? then point slope
an X and a Y? then standard
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 is a way to remember how to plot points like (-2,4) or (7, 8)
WALK x then CLIMB y
What are the slopes of the diagonals of a square?
+1 and -1
A slope of 2/3 is (steeper/less steep) than one.
A slope of -5/2 is (steeper/less steep) than negative one.
A slope of 1/10 is closer to (zero or one)
A slope of 7/8 is closer to (zero or one)
A slope of 0.0001 is closer to (zero or one)
A slope of 5 is closer to (one or undefined)
undefined (straight up and down)
If a line has a y intercept of 9, then the point _____ is on the line.
If a line has an x intercept of 9, then the point _____ is on the line.
If you are given two points, the equation for the slope of the line is
m = y-y / x-x
People think of the slope as _____ over _____
what form? y = 4x - 3