Question
A line passes through the point (4, 3) and is
perpendicular to the line 3x + 4y = 12. Find the equation of the new line.Solution
The slope of the line 3x + 4y = 12 is given by rearranging it into slope-intercept form: 3x + 4y = 12Â 4y = -3x + 12Â y = -3/4 * x + 3. Thus, the slope of the given line is -3/4. The slope of the perpendicular line will be the negative reciprocal, i.e., 4/3. Now, using the point-slope form of the equation of a line: y - y1 = m(x - x1), Substitute the point (4, 3) and slope 4/3: y - 3 = 4/3(x - 4), Multiply both sides by 3 to eliminate the fraction: 3(y - 3) = 4(x - 4), 3y - 9 = 4x - 16, 3y = 4x - 7, Thus, the equation of the line is: 4x - 3y = 7. Answer: c)
15.99% of 549.99 ÷ 11.17 = ? ÷ 20.15
74.91% of 639.95 – 599.98% of 45 + 119.987 = ?
(4.88 × 5.76)2 - ?2 = 39.89 × 19.86
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exact value.)
- What approximate value will come in place of the question mark (?) in the following question? (Note: You are not expected to calculate the exactvalue.)
(1800.23 ÷ 29.98) + (816.32 ÷ 23.9) + 1634.11 = ?
1449.98 ÷ 50.48 × 10.12 = ? × 2.16
36.05 × 5.02 + 12.052 = ? + 9.09 × 4.04Â
(31.9)3 + (34.021)² - (16.11)3 - (42.98)² = ?
