2.2 Linear Equation

Question 1

Linear Function

Answer 1

A function whose graph is a line linear function

Question 2

Linear Equation

Answer 2

You can represent a linear function with a linear equation, such as y= 3x + 2.

Question 3

Dependent Variable

Independent Variable

Answer 3

You can write the solutions of the equation using set notation as {( x,y)| y= 3x + 2}. Read the notation as “ the set of the ordered pairs x,y such that y= 3x + 2.” Because the value y depends on the value of x,y is called the dependent variable. and x is called independent variable.

Question 4

y-intercept

Answer 4

the y- intercept of a line is the point at which the line crosses the y- axis. You can use the same term to identify the x-coordinate.

Question 5

x-intercept

Answer 5

the x-intercept of a line is the point at which the line crosses the x-axis. You can use the same term to identify the x-coordinates of this point.

Question 6

standard form of a linear equation

Answer 6

The standard form of a linear equation is Ax + by = C, where A, B and C are real numbers, and A and B are not both zero. You can graph a linear equation in standard form by finding the x- and y- intercepts.

Question 7

Slope

Answer 7

The slope of a non-vertical line is the ratio of the vertical change to a corresponding horizontal change. You can calculate slope by subtracting the corresponding coordinates of two points on the line.

Question 8

Point- slope form

Answer 8

When you know the slope and a point on a line, you can use the point-slope form to write the equation of the line

Question 9

Slope- intercept form

Answer 9

Another form of the equation of a line is slope-intercept form , which you can use to find slope by examining the equation.