find the coordinates of the x intercept of the line passing through two points (-4,-3) and (2,6) using calculation

Answer 1

To find the x-intercept of the line passing through the points (-4,-3) and (2,6), we first need to find the equation of the line.

The slope of the line can be calculated using the formula:

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

m = (6 - (-3)) / (2 - (-4))
m = 9 / 6
m = 1.5

Now that we have the slope, we can find the y-intercept using the formula:

y = mx + b

Using the point (-4, -3):

-3 = 1.5(-4) + b
-3 = -6 + b
b = 3

So the equation of the line is y = 1.5x + 3

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

0 = 1.5x + 3
1.5x = -3
x = -2

Therefore, the x-intercept of the line passing through the points (-4,-3) and (2,6) is -2.