Find the discount.
2 answers:
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The general form of the equation of a line is represented by the Affine function y = mx + b, in which m represents the slope, b the y-intercept, y and x the coordinates of a point.
By hypothesis, we got the slope (m = 4), and the coordinates of a point (in which x = 0 and y = -9). So all we need to do is to find the y-intercept b.
Let's replace the values we have in the equation y = mx + b:
-9 = 4*0 + b
-9 = 0 + b
-9 = b.
We got now the y-intercept. So the final equation of the line is:
y = 4x - 9
If we subtract 4x from each side, we get:
y - 4x = -9
And if we multiply both sides by -1, we get:
4x - y = 9
So the equation of the line, based on your choices, is 4x - y = 9.
I've added a picture of the graph of the equation under the answer.
Hope this Helps! :)
By hypothesis, we got the slope (m = 4), and the coordinates of a point (in which x = 0 and y = -9). So all we need to do is to find the y-intercept b.
Let's replace the values we have in the equation y = mx + b:
-9 = 4*0 + b
-9 = 0 + b
-9 = b.
We got now the y-intercept. So the final equation of the line is:
y = 4x - 9
If we subtract 4x from each side, we get:
y - 4x = -9
And if we multiply both sides by -1, we get:
4x - y = 9
So the equation of the line, based on your choices, is 4x - y = 9.
I've added a picture of the graph of the equation under the answer.
Hope this Helps! :)
You problem is you don't have any problem. You have a bunch of formulas for the perimeter and area of some shapes.
As for using the formulas, usually you're given all but one of the variables and you can solve for the remaining one.
Notice how the triangle result doesn't have area as a function of a, b and c. That's called Heron's formula and is usually not taught to secondary school students. I don't like to teach it either because Archimedes' Theorem is so much better:
The sides a,b,c and area S of a triangle satisfy