Line A passes through the points (6,-30) and (-2,10). Line B passes through the points (-4,28) and (2,-2). Which statement is true? Choices: (A)Line A does not intersect line B. (B)Line A overlaps line B. (C)Line A intersects line B at exactly one point.

Calculate slope of Line A: Calculate the slope of Line A using the points (6, -30) and (-2, 10). Write equation of Line A: Write the equation of Line A using the point-slope form. Calculate slope of Line B: Calculate the slope of Line B using the points (-4, 28) and (2, -2). Write equation of Line B: Write the equation of Line B using the point-slope form. Compare equations of Line A and Line B: Compare the equations of Line A and Line B to determine their relationship.

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Line $A$ passes through the points $(6,-30)$ and $(-2,10)$ . Line $B$ passes through the points $(-4,28)$ and $(2,-2)$ . Which statement is true? $\newline$ Choices: $\newline$ (A) Line $A$ does not intersect line $B$ . $\newline$ (B) Line $A$ overlaps line $B$ . $\newline$ (C) Line $A$ intersects line $B$ at exactly one point.

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Math Problems

Algebra 1

Write an equation for a parallel or perpendicular line

Full solution

Q. Line

A

passes through the points

(6,-30)

and

(-2,10)

. Line

B

passes through the points

(-4,28)

and

(2,-2)

. Which statement is true?

\newline

Choices:

\newline

(A) Line

A

does not intersect line

B

\newline

(B) Line

A

overlaps line

B

\newline

A

intersects line

B

at exactly one point.

Calculate slope of Line A: Calculate the slope of Line A using the points $(6, -30)$ and $(-2, 10)$ .
Write equation of Line A: Write the equation of Line A using the point-slope form.
Calculate slope of Line B: Calculate the slope of Line B using the points $(-4, 28)$ and $(2, -2)$ .
Write equation of Line B: Write the equation of Line B using the point-slope form.
Compare equations of Line A and Line B: Compare the equations of Line A and Line B to determine their relationship.