ALGEBRA 1- REPORTING CATEGORY 2

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the rise over run between two points on the line.

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

Slope (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, represented as (x, 0).

Front

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

Back

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

Front

What is the first step in solving the equation 4x + 3 = 14?

Back

Subtract 3 from both sides of the equation.

Front

What does it mean if a system of equations has no solutions?

Back

It means that the lines represented by the equations are parallel and never intersect.

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 'm' represent in the slope-intercept form of a linear equation?

Back

'm' represents the slope of the line.

Front

What does 'b' represent in the slope-intercept form of a linear equation?

Back

'b' represents the y-intercept of the line.

Front

What is the significance of the y-intercept in a graph?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, y).