Algebra II Final Review: Day 3

Front

Find the slope of the line that passes through the points (-5, -4) and (15, 0).

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1) = (0 - (-4)) / (15 - (-5)) = 4 / 20 = 1/5.

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

Evaluate h(2) if h(x) = -5x + 7.

Back

h(2) = -5(2) + 7 = -10 + 7 = -3.

Front

Convert the equation 3x + y = 12 into slope-intercept form.

Back

The slope-intercept form is y = -3x + 12.

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

Determine if the following relation is a function: {(1, 2), (1, 3), (2, 4)}.

Back

Not a Function, because the input 1 has two different outputs (2 and 3).

Front

What does the term 'y-intercept' refer to in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of b in the slope-intercept form y = mx + b.

Front

How do you find the y-intercept from the equation 2x + 3y = 6?

Back

To find the y-intercept, set x = 0: 2(0) + 3y = 6, which gives y = 2.

Front

What is the formula for the point-slope form of a linear equation?

Back

The 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

If a line has a slope of 2, what does this indicate about the line's steepness?

Back

A slope of 2 indicates that for every 1 unit increase in x, y increases by 2 units, making the line steep.