find the coordinates of the x intercept of the line passing through two points (-4,3) with slope -1/2
To find the x-intercept, we need to find the point where the line intersects the x-axis, meaning the y-coordinate is 0.
Given that the slope of the line is -1/2, we can use the point-slope formula to find the equation of the line:
y - y₁ = m(x - x₁)
y - 3 = (-1/2)(x + 4)
y - 3 = (-1/2)x - 2
y = (-1/2)x + 1
Now, we can find the x-intercept by setting y = 0 and solving for x:
0 = (-1/2)x + 1
(1/2)x = 1
x = 2
Therefore, the x-intercept of the line passing through the points (-4,3) with a slope of -1/2 is (2,0).