Writing Slope Intercept Equation

Front

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

Back

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

Front

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

Back

The slope (m) represents the rate of change of y with respect to x, indicating how steep the line is.

Front

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

Back

The y-intercept (b) is the point where the line crosses the y-axis, indicating the value of y when x = 0.

Front

Write the equation of the line in slope-intercept form given m = 2 and b = 3.

Back

y = 2x + 3

Front

Write the equation of the line in slope-intercept form given m = -1 and b = 4.

Back

y = -1x + 4 or y = -x + 4

Front

What is the equation of a line with a slope of 0?

Back

The equation is y = b, where b is the y-intercept, indicating a horizontal line.

Front

What is the equation of a line with an undefined slope?

Back

The equation is x = a, where a is the x-intercept, indicating a vertical line.

Front

Write the equation of the line in slope-intercept form given m = 1/2 and b = -2.

Back

y = 1/2x - 2

Front

Write the equation of the line in slope-intercept form given m = -3 and b = 5.

Back

y = -3x + 5

Front

What is the slope of the line represented by the equation y = 4x + 1?

Back

The slope is 4.