Slope-intercept

Front

What does 'b' represent in the slope-intercept form of a linear equation (y=mx+b)?

Back

The y-intercept, which is the point where the line crosses the y-axis.

Front

How do you calculate the slope (m) of a line given two points (x1, y1) and (x2, y2)?

Back

The slope is calculated using the formula m = (y2 - y1) / (x2 - x1).

Front

What is the slope of the line represented by the equation y=4x+3?

Back

The slope is 4.

Front

If the slope of a line is negative, what does that indicate about the direction of the line?

Back

It indicates that the line descends from left to right.

Front

What is the slope in the equation y=2x + 3?

Back

The slope is 2.

Front

If m=3 and b=6, what is the slope-intercept equation of the line?

Back

The equation is y=3x+6.

Front

What does the slope (m) indicate in a linear equation?

Back

The slope indicates the rate of change of y with respect to x.

Front

How can you determine the y-intercept from a linear equation in slope-intercept form?

Back

The y-intercept is the value of b in the equation y=mx+b.

Front

What is the general form of a linear equation?

Back

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

Front

How do you convert the equation from standard form to slope-intercept form?

Back

Rearrange the equation to solve for y, isolating it on one side.