Finding Linear Equations from Points and Slopes

The video tutorial explains how to find the equation of a line in slope-intercept form given a slope and a point. It starts by introducing the slope-intercept form equation, y = mx + b, where m is the slope and b is the y-intercept. The tutorial then uses the given slope of 7 and the point (-4, -11) to solve for the y-intercept, b. By substituting the point into the equation, it calculates b as 17. The final equation of the line is y = 7x + 17. The video concludes by demonstrating how to graph the line using the slope and y-intercept.

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

• x = my + b

• x = by + m

• y = bx + m

• y = mx + b

What is the value of the slope (m) given in the problem?

• 5

• 7

• 11

• 4

What is the initial form of the equation after substituting the slope?

• y = x + 7b

• y = 7 + bx

• y = 7x + b

• y = b + 7x

Which point is given to help find the y-intercept?

• (-4, 11)

• (4, 11)

• (4, -11)

• (-4, -11)

What is the value of y when x is -4?

• -11

• 4

• 11

• -7

What equation do we get after substituting the point into the slope-intercept form?

• 11 = 7(4) + b

• 11 = 7(-4) + b

• -11 = 7(4) + b

• -11 = 7(-4) + b

What is the value of b after solving the equation?

• 17

• -17

• 11

• 28

What is the final equation of the line?

• y = 7x + 11

• y = 7x + 17

• y = 11x + 7

• y = 17x + 7

What is the y-intercept of the line?

• -4

• 17

• 0

• 7

How does the line move if you go one unit to the right?

• Move up 4 units

• Move down 4 units

• Move up 7 units

• Move down 7 units