Dabo Algebra 1 Sem 1 PRACTICE Final 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 from 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 y when x = 0.

Front

If the slope of a line is -2, what does this indicate about the line's direction?

Back

A slope of -2 indicates that the line descends from left to right, meaning for every 1 unit increase in x, y decreases by 2 units.

Front

What is the slope of a line that is perpendicular to a line with a slope of 2?

Back

The slope of a line perpendicular to a line with slope 2 is -1/2, as the product of the slopes of two perpendicular lines is -1.

Front

Write the equation of a line with a slope of 4 and a y-intercept of 3 in Slope-Intercept Form.

Back

The equation is y = 4x + 3.

Front

What is the solution to the equation 7x - 6 + 3x = 4x + 6?

Back

The solution is x = 2.

Front

How do you determine the y-intercept from the equation y = -3x + 7?

Back

The y-intercept is the constant term, which is 7.

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change; for example, in a distance-time graph, it indicates speed.

Front

If a line has a slope of 0, what does this indicate about the line?

Back

A slope of 0 indicates a horizontal line, meaning there is no change in y as x changes.