Writing Equations in Slope-Intercept Form from Slope and Point

This video tutorial teaches how to write equations in slope-intercept form using given slopes and points. It explains the formula y = mx + b, where m is the slope and b is the y-intercept. The tutorial covers how to find the y-intercept when given a point and a slope, and provides several example problems to illustrate the process. The lesson concludes with a final example and a summary of the key steps involved in writing equations in slope-intercept form.

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

• y = mx + b

• y = bx + m

• x = my + b

• b = mx + y

If the slope (m) is 3 and the y-intercept (b) is -5, what is the equation of the line?

• y = -3x + 5

• y = 3x - 5

• y = 3x + 5

• y = -3x - 5

Given a slope of -4/5 and a y-intercept of 2, what is the equation of the line?

• y = 4/5x - 2

• y = -4/5x + 2

• y = 4/5x + 2

• y = -4/5x - 2

What is the first step in finding the y-intercept when given a slope and a point?

• Identify the slope

• Identify the point

• Plug the values into the equation y = mx + b

• Solve for y

If you have a point (1, 1) and a slope of 3, what is the y-intercept (b)?

• 5

• -6

• -5

• 6

Given a point (5, 5) and a slope of -3, what is the y-intercept (b)?

• -6

• -1

• 1

• 6

What is the equation of the line with a slope of -3 and y-intercept of -1?

• y = -3x + 1

• y = 3x - 1

• y = -3x - 1

• y = 3x + 1

Given a point (4, -7) and a slope of -1, what is the y-intercept (b)?

• -4

• -3

• 4

• 3

What is the equation of the line with a slope of 1/2 and y-intercept of -4?

• y = 1/2x + 4

• y = -1/2x - 4

• y = 1/2x - 4

• y = -1/2x + 4

What is the final step in writing the equation of a line in slope-intercept form?

• Identify the slope

• Identify the y-intercept

• Plug the values into y = mx + b

• Solve for x