(MCA) 3.4 (Flashcard) Finding Slopes

Front

Calculate the slope of a line that passes through these points: (2, 0) and (7, 3).

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1). For points (2, 0) and (7, 3), m = (3 - 0) / (7 - 2) = 3/5.

Front

What is the slope of the line represented by the equation: 4x + 2y = 12?

Back

To find the slope, rearrange the equation into slope-intercept form (y = mx + b). The slope (m) is -2.

Front

What is the slope of the line represented by the equation: y = -rac{5}{4}x + 3?

Back

The slope (m) is -5/4, as it is the coefficient of x in the slope-intercept form.

Front

Find the slope of the line that passes through the points (1, 2) and (4, 5).

Back

Using the slope formula, m = (y2 - y1) / (x2 - x1), we find m = (5 - 2) / (4 - 1) = 3/3 = 1.

Front

What is the slope of the line represented by the equation: y = 2x - 1?

Back

The slope (m) is 2, as it is the coefficient of x in the slope-intercept form.

Front

Calculate the slope of a line that passes through the points (3, 4) and (6, 10).

Back

Using the slope formula, m = (y2 - y1) / (x2 - x1), we find m = (10 - 4) / (6 - 3) = 6/3 = 2.

Front

What is the slope of the line represented by the equation: 3x - 4y = 12?

Back

Rearranging to slope-intercept form gives y = rac{3}{4}x - 3, so the slope (m) is 3/4.

Front

Find the slope of the line that passes through the points (0, 0) and (5, 5).

Back

Using the slope formula, m = (y2 - y1) / (x2 - x1), we find m = (5 - 0) / (5 - 0) = 5/5 = 1.

Front

What is the slope of the line represented by the equation: y = -rac{1}{2}x + 4?

Back

The slope (m) is -1/2, as it is the coefficient of x in the slope-intercept form.

Front

Calculate the slope of a line that passes through the points (2, 3) and (2, 5).

Back

Since the x-coordinates are the same, the slope is undefined.