1st Semester Test Study Guide VERSION 2 pt 2

Front

What is the slope of the line represented by the equation y = -4x + 7?

Back

The slope is -4.

Front

Write the slope-intercept form of the equation with a slope of 4 and a y-intercept of -1.

Back

The equation is y = 4x - 1.

Front

Solve the inequality: 5x + 4 > 19.

Back

x > 3.

Front

What is the equation of the line with a slope of -2/3 and a y-intercept of -2?

Back

The equation is y = -\frac{2}{3}x - 2.

Front

Which equation represents the relationship shown in the table if the slope is 3/5 and the y-intercept is -4?

Back

The equation is y = \frac{3}{5}x - 4.

Front

Define slope in the context of a linear equation.

Back

Slope is the measure of the steepness of a line, calculated as the change in y over the change in x.

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is 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 as m = (y2 - y1) / (x2 - x1).

Front

What does a positive slope indicate about a line?

Back

A positive slope indicates that the line rises from left to right.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that the line falls from left to right.