Which is an equation of the line that passes through (-4,-2) and (4,2)?

1 answer:

N76 [4]3 years ago

4 0

The equation of a line is y = mx + b. Calculate the slope (m) from the 2 points.

m = (-2-2)/(-4-4) = -4/-8 = 1/2

We could stop here as only one answer has a slope of 1/2, namely A). But if you wanted to show that the y-intercept (b) was 0, you could use either of the points and substitute it into the equation of the line and solve for b.

(-4,-2):
-2 = 1/2(-4) + b
-2 = -2 + b
0 = b

(4,2):
2 = 1/2(4) + b
2 = 2 + b
0 = b

You might be interested in

What is the area of the triangle ?

bezimeni [28]

from the question, (-2,2) and (1,2) have the same y value so you can use that as your base and easily find the perpendicular height using the y axis since it's parallel to the x axis.

the third point, (0,-6), to the base is your height

use the sum of the positive of the y values to find your height (because height can't be negative): 6+2 = 8

area of a triangle = 1/2 bh = 1/2 x 3 x 8 = 12

Note: 1/2 bh only works because (-2,2) and (1,2) form a line parallel to the x axis

8 0

3 years ago

The number of student of schoolwas 450 last year and it is 396 this year.By how many percent did the number decrease

zhannawk [14.2K]

Step-by-step explanation:

450 - 396 = 54

(54/450) * 100% = 12%

Hence the decrease is 12%.