What is the slope of the line through the following pairs of points (-3, 5) and (2, 10)? I do not understand.?

Answer 1

slope = (change in y)/(change in x) = (y2-y1)/(x2-x1) = 5/5 =
1

slope = 1

Answer 2

In any pair of coordinates in a problem like this (or any graphing problem that uses the Cartesian coordinate plane), the first number is the x value and the second number is the y value.
You have two points so there are 2 x values and 2 y values, one pair for each point... (x,y) and (x,y).
To get the slope, subtract one y value from the other y value. Put the result in the numerator of a fraction. Then subtract one x value from the other x value. Put the result in the denominator of that fraction. You have a fraction like, say, 6/2. Reduce it (because you can) and you will see that the slope is 3.
Very very important: if you subtract the first y value from the second y value, you MUST subtract the first x value from the second x value. In other words, the subtraction must be done in the same order for y values and x values. AND this is also important: it doesn't matter which order you do it in.
In your example y values 10-5=5. That goes in the numerator. x values 2 minus -3 (when you subtract a minus from a minus, you get a plus so this is like saying 2 plus 3) give 5. That goes in the denominator. 5 over 5 is 1 so 5/5=1 and 1 is your slope.
But what if you had done it in the other order, subtracting the second y from the first y and correspondingly, the second x from the first x? 5-10 = -5. That goes in the numerator. Then you subtract -3-2 and you get -5. That goes in the denominator. This is minus 5 over minus 5 which is still a positive 1. Minus divided by minus gives positive. So -5/-5=1 which is the same as when you do it in the other order.
This is important to note - just do it in the same order top and bottom! But the order you use will give the right result, whichever you choose.

Answer 3

The slope of a line is equal to the change in y's (how much the line goes up... if it goes down, you'll have a negative number) divided by the change in x's (how much the line goes across to the right).

Take the y-coordinates and subtract them, the second one minus the first: 10 - 5 = 5. This is the numerator of your fraction.

Now take the x-coordinates and subtract them, the second one minus the first: 2 - (-3) = 2 + 3 = 5. This is the denominator.

Your slope is 5 / 5 = 1.

Answer 4

Slope = Delta Y / Delta X

Soo take the difference of the Y coordinates & divide it by the difference of the X coordinates.

slope of (-3, 5) and (2, 10)
= (10-5)/(2-(-3))
= 5/(2+3)
= 5/5
=1

Slope is 1

Answer 5

slope = (10 - 5) / (2 -(-3)) = 5 / 5 = 1
or
slope = (5 - 10) / (- 3 - 2) = (- 5) / (-5) = 1

Answer 6

slope= diff. of y divided by diif. of x

-3,5
2,10 so 5-10 over
-____ -3-2

-5/ -5= 1 so the slope is 1