8th Math Semester 1 Final

Front

What is a linear equation?

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you solve for t in the equation D = rt?

Back

To solve for t, rearrange the equation to get t = D/r.

Front

What is 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

How do you graph a line using Point-Slope form?

Back

Graph the given point (x1, y1) and then use the slope (rise/run) to find another point on the line.

Front

What does the y-intercept represent in a linear equation?

Back

The y-intercept is the value of y when x is 0; it represents the starting point of the line on the y-axis.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What is the difference between the slope-intercept form and the point-slope form of a linear equation?

Back

The slope-intercept form is y = mx + b, while the point-slope form is y - y1 = m(x - x1). The former emphasizes the y-intercept, while the latter emphasizes a specific point on the line.

Front

What does it mean if a line has a slope of 0?

Back

A line with a slope of 0 is horizontal, meaning there is no change in y as x changes.

Front

What does it mean if a line has an undefined slope?

Back

A line with an undefined slope is vertical, meaning there is no change in x as y changes.

Front

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

Back

To find the x-intercept, set y = 0 in the equation and solve for x.