To find the equation of a line using two coordinate points, use the slope intercept formula, (y2-y1)/(x2-x1). Using this formula, plug in your values from the two coordinates (-5, -5) and (1, -3). This would look like this:
(-3-(-5))/(1-(-5))
When simplified, you should get 2/6 or 1/3 as your slope or m value. Now that you have your slope, now use your slope intercept equation y=mx+b and plug in your known values. Since you know the m value is 1/3 and you can use one of your set of points to plug into the x and y values, you can plug in these values and solve for b (the coordinate you use doesn't matter but I'm just using the (1,-3)). This would look like this:
-3=1/3(1)+b
When you simplify, you should get -3=1/3+b and when you subtract both sides by 1/3, you should get b=-10/3.
Now that you have your m and b values, you can conclude that your equation for the line would be y=1/3x-10/3
Step-by-step explanation:
give more points then I will tell
Set it up as a proportion:
8/12 = x/36
so all you need to do is times 8 by 3
24 inches
Answer:
Step-by-step explanation:
It represents a linear function because there is a constant rate of change.
Step-by-step explanation:
Since, if the rate of change for y ( output value ) with respect to x ( input value ) remains constant for a function then it is called linear function.
Here, number of hours represents input value and minutes represents the output value,
Now, By the given table,
The function is passing through the points (1,60), (2,120), (3,180), (4,240) and (5,300),
Also,
⇒ The rate of change output value with respect to input value remains constant,
Hence, It represents a linear function because there is a constant rate of change.
Answer: x = 7 , y = 3
Step-by-step explanation:
Since they are integers , it means they are whole numbers.
Let the first number be x and the second number be y , then ,interpreting the question , we have
x + y = 10 ...................................... equation 1
x - y = 4 ........................................ equation 2
solving the resulting simultaneous linear equation by substitution method.
From equation 2 , make x the subject of the formula, that is
x = 4 + y .............. equation 3
substitute x = 4 + y into equation 1 , equation 1 becomes
4 + y + y = 10
4 + 2y = 10
subtract 4 from both sides
2y = 10 - 4
2y = 6
divide through by 2
y = 3
substitute y = 3 into equation 3 to find the value of x
x = 4 + y
x = 4 + 3
x = 7
Therefore : x= 7 and y = 3
