Exploring Linear Equations Concepts

This video tutorial reviews linear equations, focusing on finding the slope of a line using points and graphs. It covers the slope formula, calculating slope from given points, and determining slope from a graph. The tutorial also explains the slope-intercept form of a line and how to write equations from graphs. Finally, it demonstrates graphing lines using slope and y-intercept from equations.

What is the slope of a line that passes through the points (1, 3) and (4, 7)?

• 4

• 3

• 2

• 1

If a line passes through the points (6, 7) and (4, 2), what is the slope?

• 2

• -2

• -2.5

• 2.5

How do you determine the slope from a graph?

• Count the horizontal distance over vertical distance

• Count the vertical distance

• Count the horizontal distance

• Count the vertical distance over horizontal distance

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

• 3

• -5

• 1/3

• -1/5

What is the y-intercept in the equation y = 1/2x - 7?

• -7

• 7

• 1/2

• 0

How do you convert the equation 4x + 3y = 12 to slope-intercept form?

• Subtract 4x from both sides

• Add 4x to both sides

• Divide by 3

• Multiply by 3

What is the slope of the line represented by the equation 4x + 3y = 12?

• -4/3

• -3/4

• 4/3

• 3/4

If given a graph, how do you find the y-intercept?

• Find where the line crosses the y-axis

• Find the midpoint

• Find the slope

• Find where the line crosses the x-axis

What is the equation of a line with a slope of 2 and y-intercept of -3?

• y = -2x - 3

• y = 2x + 3

• y = -2x + 3

• y = 2x - 3

How do you graph the equation y = 2/3x - 5?

• Start at (0, -5) and move up 2, right 3

• Start at (0, 5) and move up 2, right 3

• Start at (0, -5) and move up 3, right 2

• Start at (0, 5) and move up 3, right 2