For the straight line defined by the points (2, 55) and (4, 91), determine the slope and y-intercept. do not round the answers.

1 answer:

4 0

Hello : let A(2,55) B(4,91)<span>
the slope is : (YB - YA)/(XB -XA)
(91-55)/(4-2) = 36/2 =18
an equation is : y-55 = 18(x-2)</span>

<span> y-intercept when : x = 0 : y - 55 = 18(0-2)
y-55 = -36
y = 55-36 = 19</span>

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Step-by-step explanation:

For a line to be perpendicular to another it must have the reverse reciprocal of the opposite line, to find the reverse reciprocal you take your slope, flip the numerator and denominator, and multiply it by -1.

The slope $\frac{1}{4}$ turns into $\frac{4}{1}$ and is then multiplied by -1 to become $\frac{-4}{1}$ which can be simplified down to: $-4$