hey.... please help?

Question

can you give me some ideas or notes about interpreting slope and graphs of lines in context?

Answer 1

Slope is the "steepness" of a line. The higher the slope (when positive) the steeper the line.
A slope of zero is horizontal, then negative slopes go "downward" as you move from left to right.
A perfectly vertical line has no slope.
Slope = m = rise/run = (y2 - y1)/(x2 - x1)

If the graph represents the cost for x number of items, then the slope is the cost of each item, and the y-intercept is the fixed cost that you pay no matter how many of the item you purchase.
For example, if your phone bill is $10 per month plus $0.05 per minute, then your slope is 0.05 and the y-intercept is 10. If you want to know how much you would pay for talking for 500 minutes, then find where the graph crosses x=500. If you want to know how long you could talk if your bill were $40, then look for where the graph crosses y=40.

I hope this helps!

Answer 2

Slopes are associated with a straight line. Pick any point on the line and draw perpendiculars from the point to the y-axis and x-axis. The value on the y-axis is related to the value on the x-axis by y/x = slope. If y=x, then the slope is 1 and for every point on the line y=x.

The line with slope m can cross the y-axis at any point b. For example y =x crosses the y-axis, and y = x+10 crosses the y axis at (0,10). This is the initial value in many graphs of lines.

If the slope is positive, the line is rising as x goes from left to right. If the slope is negative the the line is falling as x moves from left to right.

The greater the slope, the greater the effect is of a small change in x on y.

The units of the y-axis and the x-axis may not be the same.
For example, Each unit on the x-axis might represent 10, while each unit on the y-axis might represent 500. So beware of possible distortion. It is sometimes used to provide a false conclusion.

Answer 3

ok..well first of all.....the graphs of lines and slopes represent the correlation of the data -i.e. points of that line- in that graph. in context, we must first judge whether the line is positive or negative slope
/
/
/
/ Positive Slope goes up and right



\ Negative Slope
\ goes down and right
\
\



reading the line graph requires this becoz it willl help say wat kind of relationship the two axes have with each other....of course linear.