Exploring Linear Equations and Surface Area

What is the standard form of a linear equation?

• C = Ax + By

• x + y = D

• Ax + By = C

• y = mx + b

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

• m = (y1 + y2) / (x1 + x2)

• m = (y2 - y1) / (x2 - x1)

• m = (y2 + y1) / (x2 - x1)

• m = (x2 - x1) / (y2 - y1)

What is the surface area formula for a rectangular prism?

• Surface Area = 2(l + w + h)

• Surface Area = 2(lw + lh + wh)

• Surface Area = lw + lh + wh

• Surface Area = 4(lw + lh + wh)

How do you graph a linear equation in slope-intercept form?

• Connect random points on the graph without following the slope.

• Draw a vertical line through the y-intercept.

• Use only the slope to plot points without the y-intercept.

• Plot the y-intercept and use the slope to find another point, then draw a line.

What does the y-intercept represent in a linear equation?

• The y-intercept indicates where the line crosses the x-axis.

• The y-intercept represents the value of x when y is 0.

• The y-intercept is the slope of the line.

• The y-intercept represents the value of y when x is 0.

Calculate the surface area of a cube with a side length of 4 cm.

• 48 cm²

• 96 cm²

• 64 cm²

• 80 cm²

What is the relationship between the slope and the angle of a line?

• The slope of a line is the cosine of the angle it makes with the horizontal.

• The slope of a line is the reciprocal of the angle it makes with the horizontal.

• The slope of a line is the sine of the angle it makes with the vertical.

• The slope of a line is the tangent of the angle it makes with the horizontal.

How do you convert a linear equation from standard form to slope-intercept form?

• y = Ax + B

• y = (C/A)x + (B/A)

• y = (-A/B)x + (C/B)

• y = (B/A)x + C

What is the surface area of a cylinder with a radius of 3 cm and a height of 5 cm?

• 60.48 cm²

• 94.25 cm²

• 120.00 cm²

• 150.72 cm²

How can you determine if two lines are parallel using their equations?

• Two lines are parallel if they intersect at one point.

• Two lines are parallel if their slopes are equal.

• Two lines are parallel if their equations are identical.

• Two lines are parallel if their y-intercepts are equal.