If the line 3x - 4y + 12 = 0 is parallel to another line, what is the slope of t

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Question: If the line 3x - 4y + 12 = 0 is parallel to another line, what is the slope of that line?

Options:

Correct Answer: -3/4

Solution:

The slope of the line is given by -A/B = -3/-4 = 3/4. Parallel lines have the same slope.

If the line 3x - 4y + 12 = 0 is parallel to another line, what is the slope of that line?

If the line 3x - 4y + 12 = 0 is parallel to another line, what is the slope of that line?

Correct Answer: 3/4

Step 1: Identify the equation of the line given, which is 3x - 4y + 12 = 0.
Step 2: Rewrite the equation in slope-intercept form (y = mx + b) to find the slope. Start by isolating y.
Step 3: Move 3x and 12 to the other side: -4y = -3x - 12.
Step 4: Divide every term by -4 to solve for y: y = (3/4)x + 3.
Step 5: Identify the slope (m) from the equation y = (3/4)x + 3, which is 3/4.
Step 6: Remember that parallel lines have the same slope, so the slope of the parallel line is also 3/4.

Slope of a Line – The slope of a line in the form Ax + By + C = 0 can be calculated using the formula -A/B.
Parallel Lines – Parallel lines have identical slopes, meaning if two lines are parallel, their slopes will be equal.