Understand the Y-Intercept of A Line

Slope

Analyze Linear Equations: y = mx + b

Solve Equations With Variables On Both Sides

N/A

What is the y-intercept?

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

What is a slope?

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

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).

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

You can set the expressions equal to each other.

How do you find the y-intercept?

Set x=0 and solve for y

What is the formula for a slope?

y_{2 }- y_{1}

x_{2 }- x_{1}

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.

What can you use to solve the equation?

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

What does the y-intercept indicate?

It indicates where the line crosses the y-axis.

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.

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.

What is the goal in these equations?

To isolate the variable.

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

The y-intercept is positive

Can a slope be negative?

Yes.

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.

Can you use inverse operations on these equations?

Yes.

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

The y-intercept is negative.

Can a slope be positive?

Yes.

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.

Are these equations easy for everyone?

No.

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