Understanding Slope and Intercept

What is the primary advantage of using slope-intercept form?

• It is easier to convert to standard form.

• It is easier to find the x-intercept.

• It is easier to solve word problems.

• It is easier to find the slope and y-intercept.

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

• The x-intercept

• The origin

• The y-intercept

• The slope of the line

When sketching a graph, what does the 'rise over run' concept help you determine?

• The y-intercept

• The midpoint of the line

• The slope of the line

• The x-intercept

If a line passes through the points (0, 5) and (3, -4), what is the y-intercept?

• 3

• -4

• 5

• 0

How do you find the slope between two points (x1, y1) and (x2, y2)?

• (y1 - y2) / (x1 - x2)

• (x2 - x1) / (y2 - y1)

• (x1 - x2) / (y1 - y2)

• (y2 - y1) / (x2 - x1)

What is the first step in finding the y-intercept when neither x-value is zero?

• Set y to zero

• Set x to zero

• Find the midpoint

• Find the slope

In the equation y = 2x + 8, what is the slope?

• -2

• 2

• 8

• 0

How do you find the x-intercept of a line?

• Set y to zero and solve for x

• Set x to zero and solve for y

• Find the midpoint

• Use the slope formula

What is the x-intercept of the equation 4x + 5y = -10?

• -10

• -2.5

• 0

• 2.5

Why is it important to write intercepts as ordered pairs?

• They represent points on the line

• They simplify the equation

• They are easier to calculate

• They are always integers