How to get an equation with perpendicular lines. (-6,2) and x=4

This could be wrong but..
Find the negatice reciprocal of the slope of the origial line and use the slope-intercept form y=mx+b to find the line perpendicular to x=4

Y=2

Sorry if this is wrong :/

answer: a

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.