find the coordinates of the x intercept of the line passing through two points (-4,-3) and 92,6) using calculation.

Answer 1

First, we need to find the slope of the line passing through the two points using the formula:

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

m = (6 - (-3)) / (92 - (-4))
m = 9/96
m = 1/11

Next, we use the point-slope formula to find the equation of the line:

y - y1 = m(x - x1)

y - (-3) = 1/11(x - (-4))
y + 3 = 1/11(x + 4)
y + 3 = x/11 + 4/11
y = x/11 + 4/11 - 3
y = x/11 - 29/11

To find the x-intercept, we set y = 0 in the equation:

0 = x/11 - 29/11
x/11 = 29/11
x = 29

Therefore, the x-intercept of the line passing through the two points (-4,-3) and (92,6) is at the coordinate (29, 0).