Answer:
To find the equation of the line that passes through the points (-10,4) and (-4,2), we first need to find the slope of the line.
- slope = (y2 - y1) / (x2 - x1)
- slope = (2 - 4) / (-4 - (-10))
- slope = -2 / 6
- slope = -1/3
Now that we have the slope, we can use the point-slope form of a line to find the equation:
- y - y1 = m(x - x1)
- y - 4 = (-1/3)(x - (-10))
- y - 4 = (-1/3)(x + 10)
- y - 4 = (-1/3)x - (10/3)
- y = (-1/3)x + (2/3)
Therefore, the equation of the line that passes through the points (-10,4) and (-4,2) in slope-intercept form is y = (-1/3)x + (2/3).