Question

Equation of the line that passes through (1,2) and is perpendicular to the line Y equals 1/3 x + 4​

Answer 1

`y = -3x + 5`

Explanation:

1. The slope of a perpendicular line to the original equation is the opposite reciprocal of the slope of the original equation. This makes the opposite reciprocal -3, so the slope of the perpendicular line is -3.
2. Now that we have found the slope, we will put it into the formula for slope, y = mx + b. This results in getting y = -3x + b.
3. We know the values for x and y, (1,2) respectively. Plug these values into y = -3x + b.
4. 2 = -3(1) + b
5. b = 5
6. This means that 5 is your y intercept and goes into place for b
7. Therefore, your resulting equation is y = -3x + 5