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