Algebra 1 Unit 4 Linear Forms Review

Front

What is the equation of a line in point-slope form?

Back

The equation of a line in point-slope form is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

Front

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x, indicating how steep the line is.

Front

How do you find 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 x-intercept of a line?

Back

The x-intercept is the point where the line crosses the x-axis, which occurs when y = 0.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, which occurs when x = 0.

Front

What does the equation 2x + 3y = 90 represent in a real-world context?

Back

It represents a situation where two types of items (e.g., small and large cups) are sold, with a total revenue of $90.

Front

How do you determine the intercepts from the equation of a line?

Back

To find the x-intercept, set y = 0 and solve for x. To find the y-intercept, set x = 0 and solve for y.

Front

What does the term 'linear equation' mean?

Back

A linear equation is an equation that represents a straight line when graphed, typically in the form y = mx + b.

Front

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

Back

The coefficients represent the slope and the y-intercept of the line, indicating its steepness and where it crosses the y-axis.

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as x increases, y decreases, meaning the line falls from left to right.