algebra1 EOC#1

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, usually represented as 'm'. It is calculated as the ratio of the rise (change in y) over the run (change in x) between two points on the line.

Front

How do you calculate 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 y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented as (0, b) where b is the value of y when x = 0.

Front

How do you find the y-intercept from an equation?

Back

To find the y-intercept from an equation in the form y = mx + b, set x = 0 and solve for y.

Front

What does it mean to solve an equation?

Back

Solving an equation means finding the value(s) of the variable(s) that make the equation true.

Front

What is the perimeter of a triangle?

Back

The perimeter of a triangle is the sum of the lengths of all its sides.

Front

How do you solve the equation 7(x - 2) = 63?

Back

To solve, first distribute: 7x - 14 = 63. Then add 14 to both sides: 7x = 77. Finally, divide by 7: x = 11.

Front

What is the formula for the perimeter of a triangle with sides of lengths a, b, and c?

Back

The perimeter P is given by P = a + b + c.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one. It can be written in the form y = mx + b.

Front

What does the term 'rise' refer to in slope calculations?

Back

'Rise' refers to the vertical change between two points on a line, calculated as the difference in their y-coordinates.