Line s has a slope of 9/4 . Line t has a slope of 9/4 .Are line s and line t parallel or perpendicular? Choices: (A)parallel (B)perpendicular (C)neither

Compare slopes: Line s has a slope of 9/4, and line t also has a slope of 9/4. To determine if they are parallel or perpendicular, we need to compare their slopes. Check for parallel lines: If two lines are parallel, their slopes are equal. Since the slope of line s is 9/4 and the slope of line t is 9/4, they have the same slope. Check for perpendicular lines: If two lines are perpendicular, their slopes are negative reciprocals of each other. The negative reciprocal of 9/4 would be -4/9, but that's not the slope of either line. Conclusion: Since both lines have the same slope and it's not the negative reciprocal, line s and line t are parallel, not perpendicular.

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Line $s$ has a slope of $\frac{9}{4}$ . Line $t$ has a slope of $\frac{9}{4}$ .Are line $s$ and line $t$ parallel or perpendicular? $\newline$ Choices: $\newline$ (A)parallel $\newline$ (B)perpendicular $\newline$ (C)neither

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Math Problems

Algebra 1

Slopes of parallel and perpendicular lines

Full solution

Q. Line

s

has a slope of

\frac{9}{4}

. Line

t

has a slope of

\frac{9}{4}

.Are line

s

and line

t

parallel or perpendicular?

\newline

Choices:

\newline

(A)parallel

\newline

(B)perpendicular

\newline

(C)neither

Compare slopes: Line $s$ has a slope of $\frac{9}{4}$ , and line $t$ also has a slope of $\frac{9}{4}$ . To determine if they are parallel or perpendicular, we need to compare their slopes.
Check for parallel lines: If two lines are parallel, their slopes are equal. Since the slope of line $s$ is $\frac{9}{4}$ and the slope of line $t$ is $\frac{9}{4}$ , they have the same slope.
Check for perpendicular lines: If two lines are perpendicular, their slopes are negative reciprocals of each other. The negative reciprocal of $\frac{9}{4}$ would be $-\frac{4}{9}$ , but that's not the slope of either line.
Conclusion: Since both lines have the same slope and it's not the negative reciprocal, line $s$ and line $t$ are parallel, not perpendicular.