Answer:
<h2>The x-coordinate after the rotation is -10.</h2>Step-by-step explanation:
A 810° rotation is equal to a 90° rotation. So, the transformation described gives the same result than rotating 90° only.
A 90° counterclockwise rotation is defined by the rule
The given coordinate is . Using the rule, we have
Therefore, the x-coordinate after the rotation is -10.
Answer:
The equation of line is shown below.
Step-by-step explanation:
The equation of line is
It is the point slope form of a line, therefore the slope of the line is and the line passing through (4,-1).
Rewrite the above equation in slope intercept form.
The point slope form of a line is
Where m is the slope and b is y-intercept.
Therefore the slope of the line is and the y-intercept of the line is
.
Slope is defined as
Since the slope is negative, therefore the run of the line is considered on the left side. The line rise by 3 and run by 5, therefore we will add 7 in y and subtract 5 from x.
The y-intercept is .
Therefore we have three points (4,-1), (-5,4.4) and (0,1.4). Plot the point on the coordinate plane and connect them be a straight line.
