Algebra 1 MCAP Review #2

Front

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

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you identify the slope and y-intercept from the equation y = 12x + 10?

Back

The slope (m) is 12 and the y-intercept (b) is 10.

Front

What does the point (0, 2) represent on a graph?

Back

The point (0, 2) represents a location on the y-axis, 2 units above the origin.

Front

How do you determine if a point lies on a line given by an equation?

Back

Substitute the x-value of the point into the equation and see if the resulting y-value matches the y-value of the point.

Front

What is a linear equation?

Back

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

Front

What does the term 'relation' mean in mathematics?

Back

A relation is a set of ordered pairs, where each pair consists of an input (x) and an output (y).

Front

What is the significance of the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, indicating the value of y when x is 0.

Front

How can you graph the equation y = 2/3x - 3?

Back

Start at the y-intercept (0, -3), then use the slope (2/3) to find another point by rising 2 units and running 3 units to the right.

Front

What does it mean if a relation has two ordered pairs with the same first element?

Back

It means that the relation is not a function, as a function cannot have two outputs for the same input.

Front

What is the slope of a line that rises 12 units for every 1 unit it runs?

Back

The slope is 12.