Polygon jklm is dilated by a scale factor of 2.5 with point c as the center of dilation, resulting in the image j′k′l′m′. if point c lies on line lm and the slope of line lm is 1.75, what can be said about line l'm'?
a. line l'm' has a slope of 1.75 but does not pass through point c.
b. line l'm' has a slope of 2.5 but does not pass through point c.
c. line l'm' has a slope of 1.75 and passes through point c.
d. line l'm' has a slope of 2.5 and passes through point c.

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.

step-by-step explanation: