Answer:
y = 4/3x - 4
Step-by-step explanation:
to find the equation of a line with 2 points, we use the slope formula which is:
we will use (6,4) as ![x_1[tex] and [tex]y_1](https://tex.z-dn.net/?f=x_1%5Btex%5D%20and%20%5Btex%5Dy_1)
and we will use (-3,-8) as ![x_2[tex] and [tex]y_2](https://tex.z-dn.net/?f=x_2%5Btex%5D%20and%20%5Btex%5Dy_2)
. we plug this into the slope formula:
-8 - 4 = -12
-3 - 6 = -9
the slope is 
but we can simplify this further by dividing the fraction by -3
-12 / -3 = 4
-9 / -3 = 3
the simplified version of the slope is 
we can write this in slope-intercept form which is y =mx + b, with b being the y intercept and m being the slope
y = 4/3x + b <--- we need to solve for <em>b</em> in order to find the y intercept, so substitute x & y for a point on the line, we can use any point we are given, but for this example i will use (6,4)
4 = 4/3(6) + b < multiply 4/3 x 6
4 = 8 + b < subtract 8 from both sides
-4 = b
our y intercept would be (0,-4)
the equation looks like the following:
y = 4/3x - 4, which is our answer
Equilateral means that the 3 sides are equal length. For this to happen, the triangle needs to also have 3 equal angles, but it is mentionned that it has an obtus angle, therefore, not all angles are the same, meaning the 3 sides also aren't equivalent.
the triangle isn't equilateral
The range of the data is 12
Answer:
its 1
Step-by-step explanation: 341/5= 68 r1
Sadly is right. You must have practiced this stuff in middle school
until it was coming out of your ears. Fortunately, you have a chance
to relearn it now. You should do that ... it'll be important in any math
course you ever take.
'm' is the slope of the line on the graph.
The slope is
(the change in 'y' between any two points on the line)
divided by
(the change in 'x' between the same two points).
You can choose any two points on the line, and the slope is always the same.
To make it easy, look at the two points on this graph where the line crosses
the x-axis and the y-axis.
Going between these two points ...
-- the line goes up, from y=0 to y=4. The change in 'y' is 4 .
-- the line goes to the right, from x=-2 to x=0. The change in 'x' is 2 .
'm' = the slope = (4)/(2) = 2 .
The "y-intercept" is the place where the line crosses the y-axis.
On this graph, that's the point where y=4 .
The equation of EVERY straight line on ANY graph is:
Y = (the slope) times 'x' + (the y-intercept) .
So the equation of THIS line on THIS graph is
Y = 2x + 4 .
