Writing Equations in Slope intercept form

Front

What is the slope-intercept form of a linear equation?

Back

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

Front

What does the 'm' represent in the equation y = mx + b?

Back

The 'm' represents the slope of the line.

Front

What does the 'b' represent in the equation y = mx + b?

Back

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

Front

How do you convert the equation y = -1/2x - 3 to standard form?

Back

The standard form is x + 2y = -6.

Front

What is the standard form of the equation y = 3x + 4?

Back

The standard form is 3x - y = -4.

Front

What type of slope does a line with a negative slope have?

Back

A line with a negative slope decreases as it moves from left to right.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What is the slope of the line that passes through the points (2, 3) and (0, 9)?

Back

The slope is -3.

Front

Write the equation of the line in slope-intercept form that passes through the points (2, 3) and (0, 9).

Back

The equation is y = -3x + 9.

Front

What does a slope of zero indicate about a line?

Back

A slope of zero indicates that the line is horizontal.