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algol13
3 years ago
7

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

Mathematics
1 answer:
gogolik [260]3 years ago
5 0

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

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