Write the equation of a line in point slope form that has a slope of − 3/4 and passes through the point (4, 5). Please explain h
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Answer:
Step-by-step explanation:
The equation of a linear function in a slope-intercept form is written as
where
m is the slope of the line
q is the y-intercept
We proceed as follows. First of all, we find the y-intercept, which is the value of y at which the line touches the y-axis.
From the graph, we see that this occurs at y = 4, therefore the y-intercept is
Now we have to find the slope. We do that by choosing two points along the line, with coordinates and
and by using the equation
Here we take the two points:
(0,4)
(-8,0)
So the slope is
Therefore, the equation of the line is