Writing Slope-Intercept Form Equations

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 the equation y = mx + b?

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 the equation y = mx + b?

Back

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

Front

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

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

Write the slope-intercept form of the line with a slope of -3 and a y-intercept of -3.

Back

y = -3x - 3.

Front

Write the slope-intercept form of the line with a slope of 4 and a y-intercept of 3.

Back

y = 4x + 3.

Front

Write the slope-intercept form of the line with a slope of 2/3 and a y-intercept of 3.

Back

y = (2/3)x + 3.

Front

Write the slope-intercept form of the line with a slope of 2 and a y-intercept of 10.

Back

y = 2x + 10.

Front

How do you convert the equation y = 8/3x + 5 into slope-intercept form?

Back

The equation is already in slope-intercept form: y = (8/3)x + 5.

Front

What is the first step to write the equation of a line given two points?

Back

Calculate the slope (m) using the two points.