Answer: y = -4x + 29
Explanation:
To find the equation of the line passing through the points (-3, 17) and (2, -3), we can use the slope-point form of a line, which is given by:
y - y1 = m(x - x1)
Where (x1, y1) is a point on the line, m is the slope of the line, and (x, y) are the coordinates of any other point on the line. To find the slope of the line, we can use the formula:
m = (y2 - y1) / (x2 - x1)
Plugging in the coordinates of the two points, we have:
m = (-3 - 17) / (2 - (-3)) = -20 / 5 = -4
Next, we plug in the coordinates of one of the points and the slope into the slope-point form of a line:
y - 17 = -4(x - (-3))
Expanding the right side:
y - 17 = -4x + 12
Adding 17 to both sides:
y = -4x + 29
So the equation of the line passing through the points (-3, 17) and (2, -3) is: y = -4x + 29