Understand the Y-Intercept of A Line
Slope
Analyze Linear Equations: y = mx + b
Solve Equations With Variables On Both Sides
N/A

100

What is the y-intercept?

The y-coordinate of the point where the line crosses the y-axis is the y-intercept.

100

What is a slope?

A slope is the steepness of the line, also commonly known as rise over run.

100

What is y=mx?

In the equation of a straight line (when the equation is written as "y = mx + b"), the slope is the number "m" that is multiplied on the x, and "b" is the y-intercept (that is, the point where the line crosses the vertical y-axis).

100

If two quantities represent equal amounts and have the same variables, what can you do?

You can set the expressions equal to each other.

200

How do you find the y-intercept?

Set x=0 and solve for y

200

What is the formula for a slope?

y- y1

x- x1

200

What is y mx b used for?

The equation of any straight line, called a linear equation, can be written as: y = mx +b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y-axis.

200

What can you use to solve the equation?

You can use inverse operations and properties of equality to solve the equation.

300

What does the y-intercept indicate?

It indicates where the line crosses the y-axis.

300

How can you calculate the slope?

You can calculate the slope by dividing the change in the y-value between two points over the change in the x-value.

300

How do you find b in the equation y=mx+b?

In the equation y = mx + b for a straight line, the number m is called the slope of the line. Let x = 0, then y = m. 0 + b, so y = b. The number b is the coordinate on the y-axis where the graph crosses the y-axis.

300

What is the goal in these equations?

To isolate the variable.

400

When the line crosses above the origin what is the y-intercept?

The y-intercept is positive

400

Can a slope be negative?

Yes.

400

What is y=mx+b called?

Every straight line can be represented by an equation: y = mx + b. ... The equation of any straight line, called a linear equation, can be written as: y = mx + b, where m is the slope of the line and b is the y-intercept. The y-intercept of this line is the value of y at the point where the line crosses the y axis.

400

Can you use inverse operations on these equations?

Yes.

500

When the line crosses below the origin, what is the y-intercept?

The y-intercept is negative.

500

Can a slope be positive?

Yes.

500

How do you find B?

In the equation y = mx + b for a straight line, the number m is called the slope of the line. Let x = 0, then y = m. 0 + b, so y = b. The number b is the coordinate on the y-axis where the graph crosses the y-axis.

500

Are these equations easy for everyone?

No.