Writing an equation using point slope form given a point and slope

The video tutorial explains how to write a linear equation in point-slope form and convert it to slope-intercept form. It uses a given point and slope to demonstrate the process, and then shows how to graph the equation by identifying the slope and y-intercept.

Why is point-slope form useful when given a point and a slope?

• It simplifies the calculation of the slope.

• It is useful when the y-intercept is not known.

• It allows for easy conversion to standard form.

• It directly provides the y-intercept.

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

• ax + by = c

• y - y1 = m(x - x1)

• y = x + c

• y = mx + b

How do you convert a point-slope equation to slope-intercept form?

• By isolating y on one side of the equation.

• By adding the slope to both sides.

• By multiplying the slope by the x-coordinate.

• By subtracting the x-coordinate from both sides.

What is the y-intercept of the equation y = 3x + 14?

• 14

• 4

• 0

• 3

How do you use the slope to plot a graph from the y-intercept?

• Move up or down by the slope and left by one unit.

• Move up or down by the slope and right by one unit.

• Move left or right by the slope and up by one unit.

• Move left or right by the slope and down by one unit.