Slope and Linear Equations

Mrs. Yaod's algebra class covers writing linear equations in slope-intercept form. The lesson includes an introduction to linear models, examples, and exercises. Students learn to identify slopes and y-intercepts, write equations from given points, and apply these concepts to real-life situations, such as calculating costs based on time worked.

What does the 'm' represent in the equation y = mx + b?

• The slope or rate of change

• The x-intercept

• The y-intercept

• The constant term

If the slope is 0 and the y-intercept is 9, what is the equation of the line?

• y = 9x

• y = x + 9

• y = 0x + 9

• y = 9

How would you simplify the equation y = -1x + 0?

• y = -x

• y = 0

• y = -1

• y = x

What is the slope of a line that rises 4 units and runs 2 units?

• 0.5

• 1

• 4

• 2

If a line passes through the points (0, -4) and (8, 4), what is the slope?

• 2

• -1

• 0

• 1

What is the y-intercept of a line that passes through the point (0, 10)?

• 10

• -10

• 5

• 0

How do you find the slope of a line given two points?

• Subtract the x-values and divide by the y-values

• Subtract the y-values and divide by the x-values

• Add the x-values and y-values

• Multiply the x-values and y-values

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

What is the slope of a line if the cost increases by $140 over 4 hours?

• 35

• 4

• 50

• 140

If a line has a slope of -1 and a y-intercept of 5, what is the equation?

• y = x + 5

• y = -x - 5

• y = x - 5

• y = -x + 5