The answer to the math worksheet According to Some Students, What Is the True Purpose of Homework? is:
”It’s for Halving Fun!”
The slope intercept form is probably the most frequently used way to express equation of a line. To be able to use slope intercept form, all that you need to be able to do is:
1) find the slope of a line and
2) find the y-intercept of a line
In general, the slope intercept form assumes the formula:
y = mx + b
Where:
m: is the slope; ‘m’ means ‘move’
b: is the y-intercept; ‘b’ means ‘where the line begins’
The Equation of a vertical line is x = b.
Since a vertical line goes straight up and down, its slope is undefined. Also, the x value of every point on a vertical line is the same. Therefore, whatever the x value is, is also the value of 'b'.
The equation of a horizontal line is y = b where b is the y-intercept.
Since the slope of a horizontal line is 0, the general formula for the standard form equation , y = mx + b becomes y = 0x +b y = b. Also, since the line is horizontal, every point on that line has the exact same y value. This y-value is therefore also the y-intercept.
Learn about the slope-intercept form of two-variable linear equations, and how to interpret it to find the slope and y-intercept of their line at Khanacademy.org.