Slope, equations, functions 8th grade

Front

What is the slope of a line?

Back

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

Front

What is the y-intercept of a line?

Back

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

Front

What does it mean for an equation to have infinitely many solutions?

Back

An equation has infinitely many solutions when any value of the variable satisfies the equation, indicating that the two sides of the equation are equivalent for all values.

Front

How do you write the equation of a line given the slope and y-intercept?

Back

Use the slope-intercept form: y = mx + b, where m is the slope and b is the y-intercept.

Front

What is a function?

Back

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

Front

What is not a function?

Back

A relation is not a function if at least one input (x-value) corresponds to more than one output (y-value).

Front

How many solutions does the equation 5(x+1)=5x+5 have?

Back

Infinitely many solutions.

Front

How many solutions does the equation 8x+1=8x-1 have?

Back

No solutions.

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

What does the slope of 4 indicate about a line?

Back

A slope of 4 indicates that for every 1 unit increase in x, y increases by 4 units.