A linear function is a function that creates a straight line when graphed on a coordinate plane.
What is the general form of a linear equation?
The general form is y = mx + b, where m is the slope and b is the y-intercept.
What does the slope of a line represent?
The slope represents the steepness of the line and the direction in which it increases or decreases.
What is the y-intercept of a linear function?
The y-intercept is the point where the line crosses the y-axis.
How do you determine the slope from two points on a graph?
Subtract the y-coordinates and divide by the difference of the x-coordinates: (y2-y1)/(x2-x1).
What is the slope of a horizontal line?
The slope of a horizontal line is 0.
What is the slope of a vertical line?
The slope of a vertical line is undefined.
How can you graph a linear function from an equation?
By identifying the slope and y-intercept, plot the y-intercept on the y-axis, then use the slope to find another point and draw a line through both points.
What happens to the graph of a line if the slope is positive?
The line rises from left to right.
What happens to the graph of a line if the slope is negative?
The line falls from left to right.
What point does every line pass through if the equation is y = x?
The line passes through the origin, point (0,0).
What does it mean if two lines on a graph are parallel?
They have the same slope but different y-intercepts.
What does it mean if two lines on a graph intersect?
They have different slopes and cross each other at one point.
How do you find the x-intercept from a linear equation?