EOC Flashcard 3

Front

What does it mean for y to vary inversely as x?

Back

It means that as x increases, y decreases, and vice versa. The relationship can be expressed as y = k/x, where k is a constant.

Front

What is the equation for direct variation?

Back

The equation for direct variation is y = kx, where k is a non-zero constant.

Front

If y varies inversely as x, and y = 0.5 when x = 2, what is the value of k?

Back

k = y * x = 0.5 * 2 = 1.

Front

How do you find the slope of a line given two points?

Back

The slope (m) is calculated using the formula m = (y2 - y1) / (x2 - x1).

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

What is the significance of the slope in a linear equation?

Back

The slope indicates the steepness of the line and the direction of the relationship between x and y.

Front

How do you determine the y-intercept from a linear equation?

Back

The y-intercept is the value of y when x = 0, which can be found directly from the slope-intercept form y = mx + b.

Front

If a job takes 4 hours for 7 electricians, how do you find the time for 3 electricians?

Back

Use the inverse variation formula: t1 * p1 = t2 * p2. Here, t1 = 4 hours, p1 = 7, p2 = 3. Solve for t2.

Front

What is the formula for inverse variation?

Back

The formula for inverse variation is xy = k, where k is a constant.

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the point and m is the slope.