Slope-Intercept Form and Applications Quiz

What is the general form of a linear equation in slope-intercept form?

• y = ax + by = c

• y = a/x + b

• y = ax^2 + bx + c

• y = mx + b

If a line has a slope of 2 and a y-intercept of 3, what is its equation?

• y = 2x + 3

• y = 3x + 2

• y = 2x - 3

• y = 3x - 2

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

• (x2 - x1) / (y2 - y1)

• (x1 - x2) / (y1 - y2)

• (y1 - y2) / (x1 - x2)

• (y2 - y1) / (x2 - x1)

What is the slope of a line that passes through the points (1, 2) and (3, 6)?

• 2

• 3

• 4

• 1

When graphing a line, what does the y-intercept represent?

• The point where the line crosses the y-axis

• The point where the line crosses the x-axis

• The slope of the line

• The steepness of the line

Which method can be used to find the equation of a line given a point and a slope?

• Quadratic formula

• Distance formula

• Pythagorean theorem

• Point-slope form

If a line has a slope of -1 and passes through the point (0, -5), what is its equation?

• y = -x - 5

• y = x - 5

• y = -x + 5

• y = x + 5

In a cost function, what does the y-intercept typically represent?

• The initial fee or starting cost

• The cost per unit

• The total cost

• The number of units

A caterer charges a $200 fee plus $18 per person. What is the equation for the total cost?

• y = 200x + 18

• y = 200x - 18

• y = 18x + 200

• y = 18x - 200

If an electrician charges a $50 initial fee and $35 per hour, what is the equation for the total cost?

• y = 50x - 35

• y = 35x - 50

• y = 50x + 35

• y = 35x + 50