Mathematics, 31.07.2019 04:00 blazecarley

What is the initial value of the function represented by this graph? a coordinate grid is shown with x and y axes labeled from 0 to 7 at increments of 1. a straight line joins the ordered pair 0, 2 with the ordered pair 7, 5. 0 1 2 5 question 7(multiple choice worth 5 points)

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Answer from: jahzz

The initial value of the graph is 2. Third option is correct.

Step-by-step explanation:

It is given that A coordinate grid is shown with x and y axes labeled from 0 to 7 at increments of 1.

The line is passing through the points (0,2) and (7,5).

The point (0,2) is the y-intercept and graph labeled from 0 to 7, therefore 2 is the initial value.

Slope of line is

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-2}{7-0}=\frac{3}{7}$

The equation of line is

y=mx+b

Where, m is slope and b is y-intercept. So the equation of given line is

$y=\frac{3}{7}x+2$

At initial condition the value of x is 0. So, put x=0.

$y=\frac{3}{7}(0)+2=2$

Therefore the initial value of the graph is 2. Option 3 is correct.

Answer from: Quest

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step-by-step explanation: the declaration of the rights of man and of the citizen (french: déclaration des droits de l'homme et du citoyen de 1789), set by france's national constituent assembly in 1789, is a human civil rights document from the french revolution.[1]

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