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genyjoannerubiera
16.12.2019 •
Mathematics
What is the y-intercept of the line perpendicular to 2x + y + 5 = 0 at (-1 , -3)?
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Ответ:
-2.5
Step-by-step explanation:
Given that the slope of the first line is
and the slope of the second line is
,if the two lines are perpendicular then ![M_{1}](/tpl/images/0420/5769/4ee91.png)
= -1 ,
The line given is 2x + y + 5 =0 , to find the slope of the line , we will need to make y the subject of the formula
2x + y +5 = 0
y = -2x -5
comparing the solution to the equation of line in slope - intercept form , which is given as y = mx + c , where m is the slope and c is the y-intercept. This means that the slope of the given line is -2.
Therefore , the slope of the line perpendicular to this line is given as
. The point given is (-1 , -3 ). Thus , to find the equation of the new line , we will use the formula for finding equation of line in slope-point form , which is given as :
y -
= m ( x -
)
m =![\frac{1}{2}](/tpl/images/0420/5769/9cdae.png)
substituting into the formula , we have
y - ( -3 ) =
( x - {-1} )
y + 3 =
(x + 1)
y + 3 =
x + ![\frac{1}{2}](/tpl/images/0420/5769/9cdae.png)
making y the subject of the formula in order to write the equation in slope - intercept form , we have
y =
x +
- 3
y =
x - ![\frac{5}{2}](/tpl/images/0420/5769/21af6.png)
Therefore , the y - intercept is - 2.5
Ответ:
jcnodnfviojsdnijvn sdiojnvijninedunhrf
Step-by-step explanation: