Writing Linear Equations: Tables ,Graphs & Points

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

What does the slope of a line represent?

Back

The slope of a line represents the rate of change of y with respect to x. It indicates how steep the line is and the direction it goes (positive or negative).

Front

How do you find the slope using two points?

Back

The slope (m) can be calculated using the formula m = (y2 - y1) / (x2 - x1) where (x1, y1) and (x2, y2) are the two points.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis. It is represented by the value of b in the equation y = mx + b.

Front

What does it mean if a line is proportional?

Back

A line is proportional if it passes through the origin (0,0) and has a constant slope. The equation can be written as y = mx.

Front

What does it mean if a line is non-proportional?

Back

A line is non-proportional if it does not pass through the origin. It has a y-intercept that is not zero.

Front

What is the equation of a line with a slope of 4 and a y-intercept of 0?

Back

The equation is y = 4x.

Front

How do you write the equation of a line given a slope and a point?

Back

Use the point-slope form: y - y1 = m(x - x1), where m is the slope and (x1, y1) is the point.

Front

What is the difference between positive and negative slope?

Back

A positive slope means the line rises as it moves from left to right, while a negative slope means the line falls as it moves from left to right.

Front

What does an undefined slope indicate?

Back

An undefined slope indicates a vertical line, where x does not change and the line goes straight up and down.