Vocabulary
This formula y2-y1 over x2-x1 is typically used in math.
What is slope?
This is the format to write a linear equation in point-slope form.
y-y1=m(x-x1)
This is the format to write an equation in slope-intercept form.
y=mx+b
y=3x-5, shows a this number as the slope.
What is 3?
Given the point (-3,9) and a slope of 1/3 . The equation in slope intercept will look like this.
y=1/3x+10
The b in the formula y=mx+b refers to what specific point?
y-intercept
Given (-3,9) and slope of one-third. The equation is written in point -slope looks like this.
y-9=1/3(x+3)
Given a slope of -5 and an intercept of 2. The equations in slope -intercept would be written as such.
What is y=-5x+2?
Given y-7= -1/2(x-3), the slope is identify at this rational number.
What is -1/2?
The linear equation y=-3x-7 can be re-written in this standard form.
Perpendicular lines usually have this type of slope.
What is opposite reciprocal?
This scenerio can be represented as this point-slope equation. Jackson driving home from family vacation at average speed of 60 mph. After 3 hours , he traveled 180 miles.
What is y-180=-60(x-3)
Randomness
What are instructions to get desmos to give you the equation from two points?
It has 5 steps.
1. click the plus sign
2. click table
3. type points
4. click the series of dots.
5. choose linear
The slope between the two points (-9,7) and (2,3 ) , an be identify as this number.
The equation 5x+10y =20 in standard form is re-written in slope-intercept to create this.
y=-1/2x+2
What is equal or congruent slopes?
This is the equation in point-slope given the points (-2,3) and (6,7)
What is y-3=1/2 (x+2)?
This slope-intercept equation that passes through point (6,3) and parallel to the graph y= -3/4x +12 is written as this.
What is y=4/3x-5?
Given 8x-4y=10, the slope is identified as this rational number.
What is 2?
The point-slope form of y-4=-6(x-1/2) can be written in slope-intercept to look like this.
What is -6x+7?
This point this (3,0) is often classifed with a special name.
What is x-intercept?
A linear equation that is perpendicular to y= -6x-12 and passes through (-1,-4) in the format of point-slope.
What is y+4=1/6(x+1)?
A linear equation that is parallel to y= -6x-12 and passes through (-1,-4) in the format of slope-intercept
What is y =-6x-10?
What is 2/9?
5x+2y=17 in standard form written in slope-intercept looks like this. Leave the improper fractions
y=-5/2x+17/2