Math 8 Interim Practice #2

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.

Front

What is the equation of a line with a slope of 4 and a y-intercept of 2?

Back

y = 4x + 2.

Front

How do you solve the equation 2x - 16 = 2(1 + 4x)?

Back

First, simplify the right side: 2x - 16 = 2 + 8x. Then, rearrange to find x: -16 - 2 = 8x - 2x, leading to x = -3.

Front

Back

Front

How do you calculate the slope of a line passing through points (8, 4) and (5, 3)?

Back

Using the slope formula: m = (3 - 4) / (5 - 8) = -1 / -3 = 1/3.

Front

What is the equation of a line with a slope of 4 and passing through the point (0, 3)?

Back

The equation is y = 4x + 3.

Front

What is the meaning of a negative slope in a linear equation?

Back

A negative slope indicates that as x increases, y decreases, resulting in a downward slant of the line.

Front

What is the meaning of a positive slope in a linear equation?

Back

A positive slope indicates that as x increases, y also increases, resulting in an upward slant of the line.