Question

Write the equation in point slope form of the line that passes through the given points (3,1) m=2

Answer 1

The equation is y = 2x - 5

Solution:

Here, x= 3; y= 1

We know the slope of an equation is given by y = mx+c

The value of m which is equal to 3 is given in the question.

Putting the value of m in the slope intercept form we get,

y = 2x+c

To find the The value of c, we substitute the value of x and y from any two given point. Lets take x = 3 and y = 1

`\Rightarrow 1=2(3)+c`

`\Rightarrow1= 6 +c`

`\Rightarrow1-6 = c`

`\Rightarrow-5 = c`

Therefore, the slope intercept equation becomes y = 2x - 5