Which equation represents the line that is perpendicular to y=1/5 and passes through (-4,-3)?

Question

Josie · Answer

x= -4    is ure answer    as line which will have y = 0 will run perpendicular to the y= something!

Kennedy · Answer

Correct answer:  y = (4/3)x - 15    Explanation:  Perpendicular lines have opposite and reciprocal slopes.  Therefore, let us find the slope of our line and appropriately modify it to find the perpendicular line.  To find the slope of our line, remember that in the slope-intercept form (y = mx + b), m represents the slope.    3x + 4y = 5  => 4y = 5 - 3x  => y = (-3/4)x + 5/4    Therefore, the slope of our line is -3/4.  The perpendicular to this would be 4 / 3.  Therefore, only y = (4/3)x - 15 is perpendicular.

Savannah

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2 thoughts on “Which equation represents the line that is perpendicular to y=1/5 and passes through (-4,-3)?”

Correct answer:

y = (4/3)x – 15

Explanation:

Perpendicular lines have opposite and reciprocal slopes. Therefore, let us find the slope of our line and appropriately modify it to find the perpendicular line. To find the slope of our line, remember that in the slope-intercept form (y = mx + b), m represents the slope.

3x + 4y = 5 => 4y = 5 – 3x => y = (-3/4)x + 5/4

Therefore, the slope of our line is -3/4. The perpendicular to this would be 4 / 3. Therefore, only y = (4/3)x – 15 is perpendicular.