The equation of line wx is 2x + y = -5. what is the equation of a line perpendicular to line wx in slope-intercept form that contains point (-1, -2)?

Remember that when a line is perpendicular to a line with slope m, then slope of that perpendicular line is -1/m.

The equation of line which is perpendicular to WX in slope-intercept form, passing through point (-1,-2) is given by:

Slopes of two lines perpendicular to each other are negative reciprocal of each other.

The equation of WX, when written in slope intercept form will be:

The slope of WX is -2 and intercept is at y = -5

Let that other line is represented by L.

Then the slope of L would be negative reciprocal of 2 which is

Thus equation of L would be:

where c represents y intercept.

Since the line L passes through the point (-1,-2), thus that point must satisfy the equation of L, or:

Thus, slope intercept form of line L is given by:

Learn more about straight line equation here:

link

The third choice is the one you want

Step-by-step explanation:

If we are to write the equation of a line perpendicular to WX, we first must determine what the slope of the WX is, because the line perpendicular to WX has a slope that is the flip of the slope of WX with the opposite sign.  Solving for y takes care of finding the slope of WX:

2x + y = -5 so

y = -2x - 5

The slope is -2.  That means that the reciprocal slope is 1/2.  Using that slope along with the coordinates x = -1 and y = -2, we first write the line using point-slope form and then solve it for y.  Start by filling in the m, the x value and the y value:

Getting rid of the double negatives gives us:

Distributing then gives us:

And finally solving for y (I am going to express the 2 on the left as 4/2 when I move it by subtraction in order to add those fractions):

And the final equation in slope-intercept form is:

step-by-step explanation:

use pothagarean therom

a^2+b^2=c^2 so first ac

acm is a right triangle because c= 90°

and am (the hypotenuse or c) =16+9 =25

but there is not enough info we need another angle or side length

explanation:

previous steps have made pa≅ pb ≅ st ≅ su. setting the compass width to ab allows you to make tu the same length. then δstu ≅ δpab by the sss congruence postulate, and ∠p ≅ ∠s by the reason cpctc.