Understanding Slope and Intercepts

This video tutorial covers the slope-intercept form of linear equations, explaining how to write and graph equations using this form. It details the components of the equation, y = mx + b, where m is the slope and b is the y-intercept. The tutorial provides step-by-step instructions for graphing equations, writing equations from graphs, and deriving equations from two points. It concludes with a practical application of these concepts in solving a word problem involving a gift card balance.

What is the primary focus of the slope-intercept form?

• To find the roots of a polynomial

• To calculate the area of a triangle

• To write and graph linear equations

• To solve quadratic equations

In the equation y = mx + b, what does 'm' represent?

• The constant term

• The slope

• The x-intercept

• The y-intercept

What is the first step in graphing a line using the slope-intercept form?

• Find the x-intercept

• Calculate the slope

• Draw a horizontal line

• Graph the y-intercept

If the slope of a line is 2, how should it be represented as a fraction?

• 0/2

• 2/0

• 1/2

• 2/1

What is the y-intercept of the equation y = -2x + 4?

• 4

• -4

• -2

• 0

When graphing a line, why is it important to extend the line across the entire graph?

• To ensure the line is straight

• To find where lines intersect

• To make the graph look complete

• To use more graph paper

In the equation y = -3/4x - 5, what is the slope?

• -3/4

• -5

• 3/4

• 5

How can you find the equation of a line from a graph?

• By counting the number of grid squares

• By measuring the length of the line

• By identifying the slope and y-intercept

• By identifying the x-intercept

What is the slope of a line that goes down 3 units and over 4 units?

• 3/4

• -4/3

• 4/3

• -3/4

How do you find the slope when given two points?

• Subtract the y-coordinates and divide by the difference in x-coordinates

• Divide the x-coordinates by the y-coordinates

• Multiply the coordinates

• Add the x-coordinates