Slopes of perpendicular lines are opposite reciprocals of each other. The slope of the given equation (which is in slope-intercept form) is 1, the invisible coefficient of x. The opposite reciprocal of 1 is -1, thus the slope of a line perpendicular to the line y = x + 4 is -1.
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Find 2 coordinates on the graph : (0, -20) and (10, 10)
Slope = (10 - (-20) ) / (10 - 0) = 30/10 = 3
Slope = 3
y-intercept = (0, - 20)
Equation : y = 3x - 20
Since the right hand side is shaded, the equation is y > 3x - 20.
<span>We cannot deduce about the exact location of P between J and K. But we can conclude: segment JP + segment PK = line JK.
</span><span>JP + PK = JK.
</span><span>Substitute first each.
(8z - 17) + (5z + 37) = 17z - 4
Combine like terms.
13z + 20 = 17z - 4
Isolate the variable z.
4z = 24
z = 6
The value of the variable z is then 6 units.</span>