Write the equation of the line, in standard form, that has a y-intercept of 2 and is parallel to 2x+y=-5, include your work in your final answer.

The general equation of the line is  y = mx+c Where m is the slope and c is a constant the given line ⇒ 2x+y = -5 ⇒⇒ y = -2x -5 The slope of the given line = -2 The required line is parallel to the given line  so the slope of the required line = -2 ⇒ ∴ y = -2x + c  →(1) the required line has y-intercept of 2 So, the line is passing through ( 0 , 2)  substitute in (1) to find c ∴ 2 = -2 * 0 + c  ⇒  c =2 ∴ y = -2x + 2 The equation of the line, in standard form ⇒⇒  2x + y = 2

Only authorized users can leave an answer!
Can't find the answer?

If you are not satisfied with the answer or you can’t find one, then try to use the search above or find similar answers below.

More questions

Mathematics, added 2021-07-24 04:26:50

Mathematics, added 2021-07-24 03:09:34

Mathematics, added 2021-07-23 03:05:07

Mathematics, added 2021-07-23 01:15:26

Mathematics, added 2021-07-21 10:23:46

Mathematics, added 2021-07-21 08:43:04

Mathematics, added 2021-07-21 07:19:39