Point-slope form and slope-intercept form

Front

What is the Point-Slope form of a linear equation?

Back

The Point-Slope form is given by the equation: y - y_1 = m(x - x_1), where (x_1, y_1) is a point on the line and m is the slope.

Front

How do you convert from Point-Slope form to Slope-Intercept form?

Back

To convert, solve for y in the Point-Slope form equation: y - y_1 = m(x - x_1) to get y = mx + b.

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 slope (m) represent in a linear equation?

Back

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

Front

What is the y-intercept in the Slope-Intercept form?

Back

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

Front

Given the point (10,5) and slope -3, write the equation in Point-Slope form.

Back

y - 5 = -3(x - 10)

Front

Given points (3, -5) and (5, -1), find the slope and write the equation in Point-Slope form.

Back

Slope m = (y2 - y1)/(x2 - x1) = (-1 + 5)/(5 - 3) = 2; Equation: y + 5 = 2(x - 3)