Write the equation of the line that passes through the points (-9, -7) and (-4,4). Put your answer in fully reduced point-slope form, unless
it is a vertical or horizontal line.

y= (11/5)x+(64/5) or y=(11x+64)/5

Step-by-step explanation:

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

x1= -9, x2= -4

y1= -7, y2= 4

(y-(-7))/(x-(-9))=(4-(-7))/(-4-(-9))

(y+7)/(x+9)=(4+7)/(-4+9)

(y+7)/(x+9)=11/5

Cross multiply

5(y+7)=11(x+9)

5y+35=11x+99

5y=11x+99-35

5y=11x+64

y=(11x+64)/5

y=(11/5)x+(64/5)

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:

consider an orange peel: if you want to try and lay it flat, you have to stretch it, we know exactly how things are being stretched or squashed at any given point. we have many different map projections because each has different patterns of some projections can even preserve certain features of the earth without