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3 years ago

Right equation of the line that passes through (-1,5) and has a slope of 3 in point slope form.

1 answer:

7 0

$\bf \begin{array}{ccccccccc}
&&x_1&&y_1\\
% (a,b)
&&(~ -1 &,& 5~)
\end{array}
\\\\\\
% slope = m
slope = m\implies 3
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-5=3[x-(-1)]
\implies 
y-5=3(x+1)$

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Step-by-step explanation:

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Mechanic 2: $105 per hour

Step-by-step explanation:

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Represent the rate of the first mechanic with x and the second with y.

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Required

Determine the rate of each

The equations are:

$x + y = 160$ --- (1)

$5x + 15y = 1850$ --- (2)

Divide (2) through by 5

$x + 3y = 370$ --- (3)

Subtract (1) from (3)

$x - x + 3y - y = 370 - 160$

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