Question

What is the equation for (8,-2) slope =3

Answer 1

The equation of line passing through point ( 8 , - 2 ) and having slope 3 is y = 3 x - 26 .

Explanation:

Given as :

The slope of a line = m = 3

The line is passing through point
`x_1` ,
`y_1` = ( 8 , - 2 )

Now, Equation of line in slope-point form

i.e y -
`y_1` = m × ( x -
`x_1` )

Or, y - ( - 2) = m × ( x - 8 )

Or, y + 2 = 3 × ( x - 8 )

Or, y + 2 = 3 × x - 3 × 8

Or, y + 2 = 3 x - 24

Or, y = 3 x - 24 - 2

∴ y = 3 x - 26

So, The equation of line y = 3 x - 26

Hence, The equation of line passing through point ( 8 , - 2 ) and having slope 3 is y = 3 x - 26 . Answer