Writing Linear Equations Practice

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the ratio of the rise (change in y) over the run (change in x) between two points on the line.

Front

How do you calculate the slope between 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 (-5, 4) and (15, -4)?

Back

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

Write the equation of a line with a slope of 2 and a y-intercept of -7.

Back

The equation is y = 2x - 7.

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.

Front

What is the slope of a line that rises 3 units for every 2 units it runs?

Back

Front

What is the slope of a line that falls 2 units for every 3 units it runs?

Back

Front

What is the translation of a point (x, y) 3 units up and 4 units right?

Back

The new coordinates will be (x + 4, y + 3).

Front

What is the reflection of the point (3, 2) over the y-axis?

Back

The reflected point is (-3, 2).