Understanding Slope-Intercept Form

The video tutorial explains how to convert a linear equation from standard form to slope-intercept form. It begins by isolating the Y variable, then identifies the slope and Y-intercept. The tutorial also demonstrates how to graph the line using the slope and Y-intercept, providing a step-by-step guide to plotting points on a coordinate plane. The video concludes with a summary of the process and key points to remember.

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

• Add the x term to both sides

• Subtract the x term from both sides

• Multiply both sides by the y coefficient

• Divide both sides by the x coefficient

After moving the x term to the right side, what is the next step to solve for y?

• Subtract the constant term from both sides

• Divide every term by the coefficient of y

• Add the constant term to both sides

• Multiply the entire equation by -1

In the equation y = mx + b, what does 'm' represent?

• The slope of the line

• The x-intercept

• The y-intercept

• The constant term

What is the y-intercept of the line 3x - 4y = 15 when converted to slope-intercept form?

• -3/4

• 15/4

• 3/4

• -15/4

How can the y-intercept be represented on a graph?

• As a line parallel to the x-axis

• As a slope

• As a point on the y-axis

• As a point on the x-axis

What is the decimal equivalent of the y-intercept -15/4?

• -4.5

• -3.75

• -3.5

• -4.25

When graphing a line, how do you use the slope to find another point?

• Move up by the numerator and right by the denominator

• Move down by the numerator and right by the denominator

• Move up by the numerator and left by the denominator

• Move down by the numerator and left by the denominator

If the slope is 3/4, how many units do you move vertically and horizontally to find another point?

• 3 units up, 4 units left

• 3 units down, 4 units right

• 3 units up, 4 units right

• 3 units down, 4 units left

What are the coordinates of the point found by moving 3 units up and 4 units right from the y-intercept?

• (4, -0.75)

• (4, -3.75)

• (0, -0.75)

• (0, -3.75)

Why might it be difficult to graph the y-intercept exactly?

• Because the slope is a fraction

• Because the y-intercept is not an integer

• Because the graph is too large

• Because the x-intercept is not given