# MATHS QUESTION, please help!?

what angle does a line passing through (1,5) and (3.10) make woth the positive direction of the x axis

please help, my tests tommorow!

### 4 Answers

- Pi R SquaredLv 79 years agoBest Answer
Hi,

Th slope of the line through (1,5) and (3,10) is (10 - 5)/(3 - 1) = 5/2.

So, it goes up 5 and 2 to the right so the:

tan A = 5/2

a = tan^-1(5/2) = 68.2º <==ANSWER

I hope that helps!! :-)

- Here2HelpLv 69 years ago
Given the points:

(x1, y1) = (1, 5)

(x2, y2) = (3, 10)

The angle that a line passing through these points make with the positive direction of the x axis would be = arctangent (y2 - y1)/(x2 - x1).

arctangent (10 - 5)/(3 - 1) = arctangent (5/2) = 68.19859051 degrees

- 9 years ago
Lets just say this.

To find the angle, you must use the trig laws.

Find a point. Lets say the point is (3,10) and lets make a triangle.

The base would be 3, (x=3) and the height would be 10 (y=10).

The angle proportional to the x-axis would be tan^-1(10/3). (TOA)

- henry_yang67Lv 69 years ago
the slope of the line is

(10-5)/(3-1) = 2.5

so the angle is arc tan (2.5) ~= 68 degrees