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

How do you find the slope from 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 y-intercept in the equation y = 2x + 5?

Back

The y-intercept is 5, which means the line crosses the y-axis at the point (0, 5).

Front

Convert the equation y + 2 = 3(x - 1) to slope-intercept form.

Back

The slope-intercept form is y = 3x - 5.

Front

What is the slope of the line represented by the equation y = -4x + 7?

Back

The slope is -4.

Front

If a line has a slope of 2, what is the slope of a line perpendicular to it?

Back

The slope of a line perpendicular to it is -1/2 (the negative reciprocal of 2).

Front

Write the equation of a line with slope 1 and y-intercept -3 in slope-intercept form.

Back

The equation is y = x - 3.

Front

What does the slope represent in a linear equation?

Back

The slope represents the rate of change of y with respect to x; it indicates how steep the line is.

Front

How do you determine the y-intercept from the equation y = -2x + 4?

Back

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

Front

What is the equation of a line that passes through the point (1, 2) with a slope of 3?

Back

The equation is y = 3x - 1.