Final answer:
To find the equation of a line in point-slope form that passes through the points (-4,6) and (-2,22), calculate the slope (m) and then use one of the points with the slope to write the equation y - y1 = m(x - x1).
Step-by-step explanation:
The student is asking for the equation of a line in point-slope form that passes through the points (-4,6) and (-2,22). First, we calculate the slope (m) of the line using the formula m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two given points. So, m = (22 - 6) / (-2 - (-4)) = 16 / 2 = 8.
Next, we use one of the points and the slope to write the equation in point-slope form, which is y - y1 = m(x - x1). Using the first point (-4, 6), the equation is y - 6 = 8(x + 4). This equation represents a line with a slope of 8 and passing through the point (-4, 6).