Answer:the anwser is positive 4/7
Step-by-step explanation:
When a line is perpendicular to one, the slope of the other line is the negative reciprocal of the one given.
Hence -7/4 would be 4/7 since it’s the opposite AND reciprocal
The slope of the line is perpendicular to y=-7/4x is 4/7
The slope of a line is the measure of the steepness and the direction of the line. Finding the slope of lines in a coordinate plane can help in predicting whether the lines are parallel, perpendicular, or none without actually using a compass.
The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,
m = Δy/Δx
where, m is the slope
Note that tan θ = Δy/Δx
Awe know,
y= mx+ x
The coefficient of x is the slope
m=-7/4
Now, to find the slope(m' ) for perpendicular lines using
m' * m= -1
m' = -1/m
m' = -1/ (-7/4)
m' = 4/7
Learn more about slope here:
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