Understanding Linear Equations in Slope-Intercept Form

This video tutorial explains how to write linear equations in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. It covers three examples: finding the equation with a given slope and intercept, with a given slope and a point, and with two given points. The video also demonstrates how to verify the equations using a graphing calculator.

What is the general form of a linear equation in slope-intercept form?

• y = a/x + b

• y = mx + b

• y = ax^2 + bx + c

• y = ax + b

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

• The x-intercept

• The slope

• The y-intercept

• The constant term

For a line with a slope of -9 and a y-intercept of 2, what is the equation?

• y = 9x - 2

• y = -9x + 2

• y = 9x + 2

• y = -9x - 2

If a line passes through the point (2, 3) with a slope of -5, what is the y-intercept?

• 5

• 3

• 13

• 10

What is the equation of the line passing through (2, 3) with a slope of -5?

• y = -5x + 13

• y = 5x - 13

• y = -5x + 3

• y = 5x + 3

How can you verify if a point lies on a line using a graphing calculator?

• By checking if the point is on the x-axis

• By entering the point's coordinates and checking the y-value

• By plotting the point and seeing if it aligns with the line

• By calculating the slope again

What is the first step in finding the equation of a line given two points?

• Find the y-intercept

• Calculate the slope

• Plot the points on a graph

• Solve for x

Given points (2, 6) and (4, 16), what is the slope of the line?

• 2

• 5

• 10

• 8

What is the equation of the line passing through (2, 6) and (4, 16)?

• y = 5x - 4

• y = 5x + 4

• y = -5x - 4

• y = -5x + 4

How can you adjust the graphing calculator to view points outside the current window?

• Change the slope

• Adjust the window settings

• Re-enter the equation

• Use a different calculator