Exploring Point-Slope Form of Linear Equations

This video tutorial covers the point-slope form of linear equations, explaining its structure and how to use it to write and graph equations. It also demonstrates converting point-slope form to slope-intercept and standard forms, and how to identify points and slopes from given equations. The tutorial provides step-by-step examples to ensure understanding of these concepts.

What is the general form of the point-slope equation?

• y = mx + b

• y - y1 = m(x - x1)

• ax + by = c

• y = m(x - x1) + b

In the equation y - 4 = 1/2(x - 3), what is the slope?

• 1/2

• 3

• -1/2

• 4

Given the point (3, 4) and slope 1/2, what is the point-slope form of the equation?

• y + 3 = 1/2(x + 4)

• y - 3 = 1/2(x - 4)

• y + 4 = 1/2(x + 3)

• y - 4 = 1/2(x - 3)

How do you convert the point-slope form equation y - 2 = -4(x + 3) to slope-intercept form?

• Distribute -4 and then subtract 2 from both sides

• Subtract 2 from both sides and then distribute

• Add 4 to both sides and then distribute

• Distribute -4 and then add 2 to both sides

What is the slope-intercept form of the equation y - 2 = -4(x + 3)?

• y = -4x - 10

• y = -4x + 10

• y = 4x - 10

• y = 4x + 10

In the equation y - 3 = 4(x - 2), what is the point?

• (4, 3)

• (2, 3)

• (3, 2)

• (2, 4)

If the equation is y + 7 = 3/4(x - 6), what is the y-coordinate of the point?

• 7

• -6

• -7

• 6

What is the standard form of the equation y = -1/2x + 5?

• x + 2y = 10

• x - 2y = 10

• 2x + y = 10

• 2x - y = 10

How do you clear fractions when converting to standard form?

• Add the fractions

• Multiply both sides by the denominator

• Subtract the fractions

• Divide both sides by the numerator

What is the standard form of the equation y = 2/3x - 5?

• 3x - 2y = 15

• 2x + 3y = -15

• 2x - 3y = 15

• 3x + 2y = -15