Pre - 4.3-4.4 Retake Assignment

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

What does the slope (m) represent in a linear equation?

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

If m=3 and b=6, what is the slope-intercept equation?

Back

y = 3x + 6

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 is the slope of the line that passes through the points (2, 3) and (4, 7)?

Back

The slope is m = (7 - 3) / (4 - 2) = 4 / 2 = 2.

Front

How would you write the equation with a slope of -3 and a y-intercept of 1?

Back

y = -3x + 1

Front

What is the first step to convert the equation y - 2 = 3(x + 1) into slope-intercept form?

Back

Distribute the 3 to both terms inside the parentheses: y - 2 = 3x + 3.

Front

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

Back

y = 3x + 5.

Front

Given the points (-5, -2) and (0, -1), what is the slope of the line?

Back

The slope is m = (-1 - (-2)) / (0 - (-5)) = 1 / 5.