Question

Which equation
represents a line that passes through (2, -1/2) and has a slope of 3?

Answer 1

y = 3x - 6
`(1)/(2)`

Explanation:

We can use y = m x + c to find the equation of the line.

Here,

m ⇒ slope

c ⇒ y - intercept

They have already given the slope of the line.

m = 3

And now we have to find the y - intercept using the given coordinates.

( 2 , - 1/2 ) ⇒ ( x , y )

Let us find now.

y = m x + c

-1/2 = 3 × 2 + c

-0.5 = 6 + c

-0.5 - 6 = c

-6.5 = c

-6 1/2 = c

Now let us write the equation of the line.

y = m x + c

y = 3x - 6
`(1)/(2)`