Understand the Y-Intercept of A Line
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
y2 - y1
x2 - x1
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.