Linear Equations and Slope Concepts

The video tutorial provides a comprehensive review of writing linear equations in slope-intercept form. It covers various methods, including using given slope and y-intercept, interpreting graphs, converting from standard form, and using point-slope form. The tutorial also demonstrates how to derive equations from two points. The teacher offers additional support through Google Meets for any questions.

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

• x = my + b

• y = bx + m

• y = mx + b

• b = my + x

If the slope is 1/3 and the y-intercept is -5, what is the linear equation?

• y = 1/3x + 5

• y = -5x + 1/3

• y = 1/3x - 5

• y = -5x - 1/3

How do you determine the slope from a graph?

• By subtracting the x coordinates from the y coordinates

• By dividing the change in y by the change in x

• By counting the number of squares between two points

• By adding the x and y coordinates

What is the slope of a line that goes down 2 units and right 5 units?

• 5/2

• -2/5

• 2/5

• -5/2

What is the first step in converting a standard form equation to slope-intercept form?

• Multiply both sides by the y term

• Divide both sides by the x term

• Subtract the x term from both sides

• Add the x term to both sides

In the equation 4x - 2y = 14, what is the slope when converted to slope-intercept form?

• -4

• 4

• -2

• 2

What is the point-slope form of a linear equation?

• y - y1 = m(x - x1)

• y = m(x - x1) + y1

• y = mx + b

• y = x - mx1 + y1

Given a point (1, 3) and a slope of -3, what is the linear equation in slope-intercept form?

• y = -3x + 3

• y = -3x - 3

• y = 3x - 3

• y = 3x + 3

How do you find the slope given two points (8, -13) and (-4, -7)?

• Add the x-coordinates and divide by the y-coordinates

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

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

• Add the y-coordinates and divide by the x-coordinates

What is the linear equation in slope-intercept form for the points (8, -13) and (-4, -7)?

• y = -1/2x - 9

• y = 1/2x - 9

• y = -1/2x + 9

• y = 1/2x + 9