Intercepts and Linear Equations

The video tutorial explains how to graph lines using x- and y-intercepts. It covers multiple examples, including equations like y = 2x + 3, 6(x-1) = 2(y+3), and x + y = 8. The tutorial also includes a practical problem involving a budget for buying strawberries and bananas, demonstrating how to graph the possible combinations of purchases within a $10 budget. The video emphasizes understanding intercepts and connecting points to form lines.

What is the definition of a line in terms of points?

• A line is defined by four points.

• A line is defined by three points.

• A line is defined by two points.

• A line is defined by one point.

What is the y-intercept of the equation y = 2x + 3?

• (3, 0)

• (2, 0)

• (0, 3)

• (0, 2)

What is the x-intercept of the equation y = 2x + 3?

• (-3/2, 0)

• (0, -3/2)

• (3/2, 0)

• (0, 3/2)

What is the y-intercept of the equation 6(x - 1) = 2(y + 3)?

• (-6, 0)

• (0, 6)

• (6, 0)

• (0, -6)

What is the x-intercept of the equation 6(x - 1) = 2(y + 3)?

• (-2, 0)

• (2, 0)

• (0, 2)

• (0, -2)

What is the y-intercept of the equation x + y = 8?

• (-8, 0)

• (8, 0)

• (0, 8)

• (0, -8)

What is the x-intercept of the equation x + y = 8?

• (0, -8)

• (8, 0)

• (-8, 0)

• (0, 8)

If strawberries cost $3 per pound and bananas $1 per pound, how many pounds of bananas can you buy with $10 if you buy no strawberries?

• 5 pounds

• 10 pounds

• 3 pounds

• 7 pounds

If you buy no bananas, how many pounds of strawberries can you buy with $10?

• 10 pounds

• 3 1/3 pounds

• 5 pounds

• 7 pounds

What does the line in the strawberries and bananas graph represent?

• The possible combinations of strawberries and bananas you can buy for $10.

• The total cost of strawberries and bananas.

• The price per pound of strawberries and bananas.

• The weight of strawberries and bananas.