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43 Cards in this Set

  • Front
  • Back

Standard form

ax + by = c

Slope intercept form

y = mx + b

An equation of the form ax + by = c when A and B are NOT both zero

Linear equation in two variables

Meaning ng APE

Addition property of equality

Pwede ba maging negative yung A sa standard form?

No

How many equations does a linear equation have

Infinitely many solutions

Are the coefficients of the equation

A and B

Constant of the equation

C

Is the slope in the SIF

M

Is the y intercept in SIF

B

The point where the line crosses the X and y axis

Intercepts of the line

Pag x intercepts hinahanap y = ?

0

Pag y intercepts hinahanap x = ?

0

Describes the direction of a line

Slope

Inclination of a line

Slope

Words used to describe obhects that are not perfectly upright

Steep, slope, pitch, tilt

If vertical yung line sa graph

Undefined

Pag horizontal line sa graph

Zero

Two lines with the same slope

Parallel

Slope that is negative reciprocal

Perpendicular slope

Pag x = ?

Slope is Undefined

Pag y = ?

Slope is 0

Define what is the slope of the line

Slope is the steepness of the line

What formula do we use in finding the slope of the line, if the graph is given having 2 points

Rise


------


Run

What formula do we use in finding the slope of the line, if the given is 2 points without using the graph

y2 - y1


---------


x2 - x1

What is the meaning of M from the form y = mx + b

Slope

If the graph has a vertical line, what is the slope

Undefined

Point slope form

Y - y1 = m (x - x1)

2 point form

Y- y1 = y2 - y1 (x - x1)


---------


x2 - x1

Write the e.g. if the line through (8, -2) and slope = undefined

X = 8

Write the e.g. if the line through (8, -2) and slope = 0

Y = -2

Negative reciprocal of 2/3

-3/2

System with at least one Sol.

Consistent and independent

The line is intersecting

Consistent and independent

Has infinitely many Sol.

Consistent and dependent

The line is coinciding

Consistent and dependent

Has no Sol.

Inconsistent system

The line of the system is parallel

Inconsistent system

Different slope and y intercept

Consistent and independent

Same slope and y intercept

Consistent and dependent

Same slope and different y intercept

Inconsistent system

He created the coordinate system

Rene Descartes

Three different methods of solving system of linear equation

Graphing, elimination, substitution