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