56,379 views
42 votes
42 votes
Write the equation of the following line in slope-intercept form.

Write the equation of the following line in slope-intercept form.-example-1
User Siavash Rostami
by
2.9k points

1 Answer

18 votes
18 votes

Answer:

y =
(2)/(5) x + 4

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m =
(y_(2)-y_(1) )/(x_(2)-x_(1) )

with (x₁, y₁ ) = (- 5, 2) and (x₂, y₂ ) = (0, 4) ← 2 points on the line

m =
(4-2)/(0-(-5)) =
(2)/(0+5) =
(2)/(5)

The line crosses the y- axis at (0, 4 ) ⇒ c = 4

y =
(2)/(5) x + 4 ← equation of line

User Dark Falcon
by
2.7k points