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Alex
3 years ago
13

Determine whether the lines l1 and l2 given by the vector equations are parallel, perpendicular, or neither. L1: r(t) = (-4 + 3t

)i + (5 + t)j l2: r(s) = (5 + 2s)i + (1 - 6s)j
Mathematics
1 answer:
Vilka [71]3 years ago
4 0

Over which interval(s) is the function decreasing?

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<h3><u>Solution:</u></h3>

Given that a line with slope 3 passes through point (0, 10)

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Let us find the required y co-ordinate using slope formula

<em><u>The slope of line is given as:</u></em>

For a line containing points (x_1 , y_1) and (x_2 , y_2) is given as:

\text {slope}=m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

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Given that slope "m" = 3

Substituting the values we get,

\begin{array}{l}{3=\frac{y-10}{2-0}} \\\\ {3=\frac{y-10}{2}} \\\\ {6=y-10} \\\\ {y=10+6=16}\end{array}

Thus the y-coordinate is 16

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(9,48)

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