Write Equations Test Part 1 Study Guide

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the ratio of the rise (change in y) to the run (change in x).

Front

How do you find the slope from two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

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

Back

The slope is -3.

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

How do you calculate slope using a graph?

Back

Slope is calculated as rise over run.

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers.

Front

Convert the equation y = -\frac{5}{8}x + 7 to standard form.

Back

5x + 8y = 56.

Front

What is the equation of a line with a slope of -1 and a y-intercept of 2?

Back

The equation is y = -x + 2.

Front

What does it mean if the slope of a line is negative?

Back

A negative slope indicates that as x increases, y decreases.

Front

What is the slope of the line that passes through the points (1, 2) and (4, -1)?

Back

Slope = (-1 - 2) / (4 - 1) = -3/3 = -1.