Write Slope Intercept when given a point and a slope

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 (m) from two points (x1, y1) and (x2, y2)?

Back

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

Front

What does the slope (m) 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

What does the y-intercept (b) represent in the slope-intercept form?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

Given the point (2, 5) and slope m = 1/2, write the slope-intercept form of the equation.

Back

y = 1/2x + 4.

Front

Given the point (-1, 4) and slope m = -3, write the slope-intercept form of the equation.

Back

y = -3x + 1.

Front

What is the first step to write the slope-intercept form from a point and slope?

Back

Start with the point-slope form: y - y1 = m(x - x1), where (x1, y1) is the given point.

Front

Convert the point-slope form to slope-intercept form: y - 5 = 1/2(x - 2).

Back

y = 1/2x + 4.

Front

If the slope is negative, what does that indicate about the line?

Back

A negative slope indicates that the line descends from left to right.

Front

If the slope is positive, what does that indicate about the line?

Back

A positive slope indicates that the line ascends from left to right.