Question

what is the equation of the line that passes through points(-3, 0.5) and (3, -0.5) A. y= -1/6× B. y= -6× C. y= -1/6× + 1 D. y= -6× - 17.5

Answer 1

The correct equation of the line passing through the points (-3, 0.5) and (3, -0.5) is y = -1/6x, which is option A.

Step-by-step explanation:

The equation of the line that passes through the points (-3, 0.5) and (3, -0.5) can be found by first calculating its slope (m) and then using the point-slope form or slope-intercept form to find the equation.

The slope of a line through the points (x1, y1) and (x2, y2) is calculated as m = (y2 - y1) / (x2 - x1). Substituting the given points into this formula, we get m = (-0.5 - 0.5) / (3 - (-3)) = -1 / 6. This is the slope of the line, and we use it along with one of the points to find the y-intercept (b).

Using the slope-intercept form y = mx + b and substituting x = -3 and y = 0.5, we solve for b: 0.5 = (-1/6)(-3) + b, which simplifies to 0.5 = 0.5 + b, hence b = 0. Thus, the equation of the line is y = -1/6x.

Therefore, the correct answer is A. y = -1/6x.

Answer 2

(-3,0.5)(3,-0.5)
slope = (-0.5 - 0.5) / (3 - (-3) = -1/6

y = mx + b
slope(m) = -1/6
use either of ur points (-3,0.5)...x = -3 and y = 0.5
now we sub and find b, the y int
0.5 = -1/6(-3) + b
0.5 = 1/2 + b
1/2 - 1/2 = b
0 = b

so ur equation is : y = -1/6x