Int 1 chapt 3 flashcard 1

Front

What is the slope of the line represented by the equation 3x - 2y = -10?

Back

The slope is 3/2.

Front

What is the y-intercept of the line represented by the equation 3x - 2y = -10?

Back

The y-intercept is 5.

Front

Simplify the expression (n^2)^3.

Back

The simplified expression is n^6.

Front

Simplify the expression r^6 ⋅ r^2 ⋅ r^3.

Back

The simplified expression is r^11.

Front

What is the equation of a line perpendicular to y = 2/7x - 5 that passes through the point (2, -3)?

Back

The equation is y = -7/2x + 4.

Front

Convert the equation 5x - 2y = 12 into slope-intercept form.

Back

The slope-intercept form is y = 5/2x - 6.

Front

What is the formula for finding the slope of a line given two points (x1, y1) and (x2, y2)?

Back

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

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.

Front

What is the general form of a linear equation?

Back

The general form is Ax + By + C = 0.

Front

What is the product of powers property in exponents?

Back

When multiplying like bases, add the exponents: a^m * a^n = a^(m+n).