Graphing Linear Equations in Standard Form

This video tutorial covers graphing linear equations in standard form. It explains how to convert equations to slope-intercept form and graph them using intercepts. The tutorial includes examples of graphing equations and interpreting intercepts in real-world contexts, such as buying apples and bananas.

What is the standard form of a linear equation?

• ax + by = c

• y = mx + b

• ax^2 + bx + c = 0

• y - mx = b

Which form is used to easily identify the slope and y-intercept of a linear equation?

• Quadratic form

• Intercept form

• Standard form

• Slope-intercept form

What is the slope of the equation after converting -2x + 3y = -6 into slope-intercept form?

• 2/3

• 3/2

• -3/2

• -2/3

What does the y-intercept represent in a graph?

• The x-coordinate where the line crosses the y-axis

• The y-coordinate where the line crosses the x-axis

• The slope of the line

• The y-coordinate where the line crosses the y-axis

How do you find the x-intercept of an equation?

• Set y = 0 and solve for x

• Set x = 0 and solve for y

• Multiply the equation by x

• Divide the equation by y

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

• (0, 3)

• (-3, 0)

• (3, 0)

• (0, -3)

In the context of the problem, what does the intercept (4,0) represent?

• 4 pounds of bananas, no apples

• 0 pounds of apples, 4 bananas

• 4 pounds of apples, no bananas

• 0 pounds of bananas, 4 apples

What does the y-intercept (0,10) indicate in the real-world scenario?

• 10 pounds of apples, no bananas

• No apples, 10 pounds of bananas

• 10 pounds of bananas, no apples

• No bananas, 10 pounds of apples

What method is used to graph the equation 1.5x + 0.6y = 6?

• Using quadratic formula

• Using x-intercept and y-intercept

• Using matrix operations

• Using slope and y-intercept

What is the significance of the intercepts in the context of the problem involving apples and bananas?

• They determine the nutritional value of the fruits.

• They show possible combinations of quantities that can be purchased for $6.

• They indicate the cost per pound of each fruit.

• They represent the maximum quantities that can be purchased.