Final answer:
The equation of the line that passes through the points (-2, 1) and (1, 10) is calculated by first finding the slope, which is 3, and then using the point-slope form to get the line equation 3x - y = -7.
Step-by-step explanation:
To find the equation of the line passing through the points (-2, 1) and (1, 10), we first calculate the slope (m) using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the given points, we get:
m = (10 - 1) / (1 - (-2))
m = 9 / 3
m = 3
Now with the slope of 3, we can use the point-slope form y - y1 = m(x - x1) to find the equation of the line. Taking one of the points (-2, 1), we get:
y - 1 = 3(x - (-2))
y - 1 = 3x + 6
Moving y to the other side, the equation becomes:
3x - y = -7
Therefore, the correct equation of the line that passes through the given points is 3x - y = -7.