Alfonso Unit 1 review!-Algebra 2

Front

What is the formula to find the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1)

Front

Calculate the slope between the points (2, 7) and (5, 8).

Back

m = (8 - 7) / (5 - 2) = 1/3

Front

What does the function f(x) = -4x - 10 represent?

Back

It represents a linear equation in slope-intercept form (y = mx + b) where m = -4 and b = -10.

Front

If f(x) = -4x - 10, what is the value of x when f(x) = 10?

Back

x = -5

Front

What is the value of h(a) if h(a) = 3 - 2x^2 and x = -3?

Back

h(-3) = 3 - 2(-3)^2 = -15

Front

What is an ordered pair in the context of a system of equations?

Back

An ordered pair (x, y) represents the solution to a system of equations where both equations are satisfied.

Front

Solve the system of equations: y = 4x + 1 and 3x + 2y = 13. What is the solution?

Back

(1, 5)

Front

What does it mean if a line has a slope of zero?

Back

A slope of zero means the line is horizontal and does not rise or fall.

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

How do you find the y-intercept of a linear equation?

Back

Set x = 0 in the equation and solve for y.