Answer:
Step-by-step explanation:
Arranging the given equation in slope-intercept form ( y = mx + b ):
<em>We know that the perpendicular line would have a slope (m) that is </em><em>negative reciprocal </em><em>of this (). Thus we can write the perpendicular line's equation as
. </em>
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<em>Now putting x = 4 and y = -6 into the equation, we can solve for b:</em>
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Thus, the equation of the perpendicular line is
The graph illustrates a linear function, because the graph is a straight line
The equation of the graph is <em>(d) y = x +3</em>
The points on the line are:
First, we calculate the slope (m)
Substitute values for x1, x2, y1 and y2
Simplify
Divide
The equation of the line is then calculated using the following formula:
Substitute values for m, x1 and y1
Simplify
Open bracket
Hence, the equation of the graph is <em>(d) y = x +3</em>
Read more about linear graphs at: