Weby = 4 x + 9 y = 11-1 4 x • A. Perpendicular • B. Parallel • C. Neither,) Correct Answers: •-2 • 11 Solution: SOLUTION Since the first line has slope, m 1 = 4 and the second line has slope m 2 =-1 4 =-1 m 1, the two lines are Perpendicular. Correct Answers: • A WebThe equation of a perpendicular line must have a slope that is the negative reciprocal of the original slope. mperpendicular = − 1 6 m perpendicular = - 1 6 Find the equation of the perpendicular line using the point - slope formula. Tap for more steps... y−4 = −1 6 ⋅(x+2) y - 4 = - 1 6 ⋅ ( x + 2) Write in y = mx+ b y = m x + b form.
Slope: Parallel & Perpendicular Lines Purplemath
WebJan 11, 2024 · A perpendicular slope is the negative reciprocal of any other slope. In geometry, all lines have slopes. The slope of a line is its angle, or steepness, compared to the x-axis value. Mathematically, slope is the … WebMar 1, 2024 · The letters T and L are examples of perpendicular lines. By definition, parallel lines are two lines on the same plane that never intersect. The letters N and Z contain pairs of parallel lines. When determining if two lines are … dr hector \u0026 the groove injectors
Explain why perpendicular lines have negative …
WebOct 4, 2024 · Find the slope of the perpendicular line using the opposite reciprocal. A line perpendicular to another line will always have an opposite slope. If the slope of the … WebDec 10, 2024 · 4. Plug in the point's x- and y-values. This will make the equation ready to be solved. Solving it will lead to the y-intercept's value being found. [2] 5. Solve the equation. … WebDec 10, 2024 · 2/3 becomes -2/3. This makes the slope opposite. -2/3 becomes -3/2. This makes the slope both opposite and reciprocal. Thus, the slope has been converted. 3 Write the new equation in slope-intercept form. Replace the old slope with the new slope. Replace the y-intercept's value with a variable (b). 4 Plug in the point's x- and y-values. ent north adams