#3 Write the equation of a line that passes through the points (-3, -2) and (3, 6).
A. y = 3x + 6
B. y = (4/3)x + 2
C. y = 4x + 2
D. y = 2x + (4/3)

Question

#3 Write the equation of a line that passes through the points (-3, -2) and (3, 6). A. y = 3x + 6 B. y = (4/3)x + 2 C. y = 4x + 2 D. y = 2x + (4/3)

SnapAndSolve AI · Accepted Answer

To find the equation of the line passing through the points (-3, -2) and (3, 6), we first calculate the slope (m) using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the given points:

m = (6 - (-2)) / (3 - (-3)) = 8 / 6 = 4/3

Now, use the point-slope form of the equation: y - y1 = m(x - x1)

Using point (3, 6):

y - 6 = (4/3)(x - 3)

Simplifying:

y - 6 = (4/3)x - 4

y = (4/3)x + 2

The correct answer is B. y = (4/3)x + 2

#3 Write the equation of a line that passes through the points (-3, -2) and (3, 6). A. y = 3x + 6 B. y =...