y = -7x + 12
To find the equation of a line in slope-intercept form (y = mx + b) given two points, we need to calculate the slope (m) and then find the y-intercept (b).
The given points are: Point 1: (2, -2) Point 2: (3, -9)
Step 1: Calculate the slope (m). Slope formula: m = (y2 - y1) / (x2 - x1) Slope, m = (-9 - (-2)) / (3 - 2) m = -7 / 1 m = -7
Step 2: Find the y-intercept (b). We can use either of the given points to find the y-intercept. Using the point (2, -2): y = mx + b -2 = -7(2) + b -2 = -14 + b b = -2 + 14 b = 12
Therefore, the equation of the line in slope-intercept form is: y = -7x + 12
