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Find an equation of the line having slope -2 that passes through the point (1, 5)


The approximation method used to estimate a point between two given points is called _____________. The approximation method used to estimate a point that does not lie between two given points is called _____________. A linear function has the form _____________. Its graph is a _____________ that has slope _____________ and a y- intercept at _____________.

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texaschic101

slope of -2, (1,5)

y = mx + b
slope(m) = -2
(1,5)...x = 1 and y = 5
now we sub and find b, the y int
5 = -2(1) + b
5 = -2 + b
5 + 2 = b
7 = b
so ur equation is : y = -2x + 7

The approximation method used to estimate a point between 2 given points is called linear interpolation. The approximation method used to estimate a point that does not lie between 2 given points is called linear extrapolation.A linear function has the form f(x) = mx + b. Its graph is a line that has slope m and y intercept at (0,b).

Solutions 

We know that we are given the slope of -2, (1,5). 

Calculations 

\(y = mx + b\)

\(slope(m) = -2\)

\((1,5)=\ \textgreater \ x = 1 + y = 5\)

Our next step wll be to substitude and find variable b

\(5 = -2(1) + b\)

\(5 = -2 + b\)

\(5 + 2 = b\)

\(7 = b\)

equation =  \(y = -2x + 7\) 

Therefore, 

                 The approximation method used to estimate a point between 2 given points is called linear interpolation. The approximation method used to estimate a point that does not lie between 2 given points is called linear extrapolation.A linear function has the form f(x) = mx + b. Its graph is a line that has slope m and y intercept at (0,b).

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