Question

A line passes through the point(5,-6) and has a slope of 2 .

Write an equation in slope-intercept form for this line.

Answer 1

Answer: y = 2x - 16

Explanation:

The equation of a line in slope - intercept form is given as :

y = mx + c , where m is the slope and c is the y - intercept.

The point given : (5 , -6 )

slope = 2

using the formula

y -
`y_(1)` = m ( x -
`x_(1)` )

substituting the given values , we have

y - (-6) = 2 ( x - 5 )

y + 6 = 2x - 10

y = 2x -10 - 6

y = 2x - 16

This is the equation of the line in slope - intercept form