Equation of a Line

Front

What is the slope-intercept form of a line?

Back

The slope-intercept form of a line is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

What does 'm' represent in the equation of a line?

Back

In the equation of a line (y = mx + b), 'm' represents the slope of the line.

Front

What does 'b' represent in the equation of a line?

Back

In the equation of a line (y = mx + b), 'b' represents the y-intercept, which is the point where the line crosses the y-axis.

Front

How do you find the y-intercept from the equation y = 3x - 5?

Back

To find the y-intercept, set x = 0. So, y = 3(0) - 5 = -5. The y-intercept is -5.

Front

What is the y-intercept of the line represented by the equation y = -2x + 4?

Back

The y-intercept is 4, which is the value of y when x = 0.

Front

What is the slope of the line represented by the equation y = rac{1}{2}x + 3?

Back

The slope of the line is rac{1}{2}.

Front

If a line has a slope of rac{3}{4}, what does this indicate about the line?

Back

A slope of rac{3}{4} indicates that for every 4 units moved horizontally to the right, the line rises 3 units vertically.

Front

What is the standard form of a linear equation?

Back

The standard form of a linear equation is Ax + By = C, where A, B, and C are integers, and A should be non-negative.

Front

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

Back

To convert y = mx + b to standard form, rearrange it to the form Ax + By = C by moving mx to the left side.

Front

What is the point-slope form of a line?

Back

The point-slope form of a line is given by y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.