Question

the line passing through the points (1,2) and (x, 5) is perpendicular to a line that has a slope of 1/3. what is the value of x

Answer 1

Answer:

x= 0

Step-by-step explanation:

Let's form an equation using the slope of the line.

$\boxed{gradient = \frac{y1 - y2}{x1 - x2} }$

☆ (x₁, y₁) is the 1st coordinate and (x₂, y₂) is the 2nd coordinate

Let the gradient of line be m.

$m = \frac{5 - 2}{x - 1}$

$m = \frac{3}{x - 1}$

The product of the gradients of 2 perpendicular lines is -1.

m(⅓)= -1

$m = - 1 \div \frac{1}{3}$

m= -1 ×3

m= -3

$- 3 = \frac{3}{x - 1}$

$- 3(x - 1) = 3$

$x - 1 = \frac{3}{ - 3}$

$x - 1 = - 1$

x= -1 +1

x= 0