The slope of the line is 4.83 and the y-intercept is 51
<h3>How to determine slope and the y-intercept?</h3>
From the graph, we can see that the line of the best fit touches the y-axis at y = 51
This means that:
The y-intercept is 51
The slope is then calculated as:
m = (y2 - y1)/(x2 - x1)
Using the points on the line, we have:
m = (80 - 51)/(6 - 0)
Evaluate
m = 4.83
Hence, the slope of the line is 4.83
Read more about line of best fit at:
brainly.com/question/25226042
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Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 1/2
Hope this helps! :)
To find the equation for the line in slope-intercept form y= mx + b, perpendicular to the line shown and passing through (6, -6):
The slope of the blue line is the rise (change in y) divided by run (change in x)
Choosing two points on the line (0, -6) and (2,0)
Slope = (0 - (-6)) / (2 - 0) = 6 / 2 = 3
The slope of our perpendicular line will be the opposite inverse, so:
m = -1/3
We have the point (6, -6) so we can solve for b
y = mx + b
-6 = (-1/3)*6 + b
-6 = -2 + b
b = -4
We know that m= (-1/3) and b= -4, so:
y = (-1/3)x - 4
This is definitely the correct answer. None of the above answers describe the line that is perpendicular to the blue line and passes through (6, -6). Make sure you wrote the options down correctly.
C = 5(59-32)
C = 5(27)
C = 135
