If you are writing in slope-intercept form:
You first find the slope.
Put the slope in the equation.
Substitute any point into the equation and find the y-intercept.
Answer:
Step-by-step explanation:
3x%2B4y=12 Start with the given equation
4y=12-3x Subtract 3+x from both sides
4y=-3x%2B12 Rearrange the equation
y=%28-3x%2B12%29%2F%284%29 Divide both sides by 4
y=%28-3%2F4%29x%2B%2812%29%2F%284%29 Break up the fraction
y=%28-3%2F4%29x%2B3 Reduce
Looking at y=-%283%2F4%29x%2B3 we can see that the equation is in slope-intercept form y=mx%2Bb where the slope is m=-3%2F4 and the y-intercept is b=3
Since b=3 this tells us that the y-intercept is .Remember the y-intercept is the point where the graph intersects with the y-axis
So we have one point
Now since the slope is comprised of the "rise" over the "run" this means
slope=rise%2Frun
Also, because the slope is -3%2F4, this means:
rise%2Frun=-3%2F4
which shows us that the rise is -3 and the run is 4. This means that to go from point to point, we can go down 3 and over 4
So starting at , go down 3 units
and to the right 4 units to get to the next point
Now draw a line through these points to graph y=-%283%2F4%29x%2B3
So this is the graph of y=-%283%2F4%29x%2B3 through the points and
The equation of the least-squared regression line is: In(Element) = 2.305 - 0.101(Time).
<h3>What is a regression line?</h3>
A regression line displays the connection between scattered data points in any set. It shows the relation between the dependent y variable and independent x variables when there is a linear pattern.
According to the given problem,
From the table we can see,
ln(Element) is the dependent variable and Time is the independent variable.
The constant = 2.305,
Time = -0.101
Hence, we can conclude, our least squared regression line will be
In (Element) = 2.305 - 0.101 (Time).
Learn more about regression line here: brainly.com/question/7656407
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