Hi Steve,
Sorry I did not explain my self better than I did. See this is the second time taking this Statistic course,and I have no idea how to do anythings.
The question is:
Hi Steve,
It is a graph where there is a line on point is on -3 and the other point is on +5
It says writing and equation of a line given the y intercept and another point.
The y intercept is where the line hits the y axis, in other words when x = 0
that means that in the equation of the line
y = m x + b
the y intercept is where x = 0 and y = b
saying a point is on -3 and the other on + 5 does not help me
You have to say for example
at one point x = 0 and y = -3
and at the other point, x = +5 and y = 0
Every point in two dimensions has two coordinate values (x,y)
If my gues is correct and you mean
(0,-3) and (5,0)
then we know that in
y = m x + b
-3 = 0 + b
so b = -3
and we know that
0 = m(5) - 3
so m = 3/5
thus the line is
y = (3/5)x - 3
Thank you very much for your help. It is greatly appreciated.
Hi there!
No problem, I'm here to help. Let's break down the question and go through the steps to solve it.
To write the equation of a line, we need two pieces of information: the slope of the line and the y-intercept. In this case, you mentioned that the line passes through the points (-3, y-intercept) and (5, other point).
Step 1: Find the slope
The slope of a line can be calculated using the formula: slope = (change in y) / (change in x). In this case, we can use the two given points to find the slope.
slope = (y2 - y1) / (x2 - x1)
= (other point - y-intercept) / (5 - (-3))
Step 2: Find the y-intercept
Since the y-intercept is given in the question, we can simply use that value.
Step 3: Write the equation
Once we have the slope and y-intercept, we can write the equation of the line in the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept. Plug in the values and simplify the equation.
Now let's work through an example to make it clearer.
Example:
Given points: (-3, y-intercept) and (5, other point)
Step 1: Find the slope
slope = (other point - y-intercept) / (5 - (-3))
Step 2: Find the y-intercept
The y-intercept is given, so let's say it is 2.
Step 3: Write the equation
The equation of the line in slope-intercept form is y = mx + b. Plug in the values.
y = slope * x + y-intercept
y = (slope) * x + 2
And that's it. The final equation will depend on the specific values of the y-intercept and other point that you provided.
I hope that helps! Let me know if you have any further questions or if there's anything else I can do to assist you.