Final answer:
To write an equation of a line given two points, we can use the slope-intercept form: y = mx + b. Given the points (-1, -9) and (2, 0), we can calculate the slope using the formula: slope = (y2 - y1) / (x2 - x1). Using one of the points, we can substitute it into the equation y = mx + b to find the y-intercept.
Step-by-step explanation:
To write an equation of a line given two points, we can use the slope-intercept form: y = mx + b, where m represents the slope and b represents the y-intercept.
Given the points (-1, -9) and (2, 0), we can calculate the slope using the formula: slope = Δy / Δx = (y2 - y1) / (x2 - x1).
Plugging the values into the formula, we have slope = (0 - (-9)) / (2 - (-1)) = 9 / 3 = 3.
Now that we have the slope, we can substitute one of the points into the equation y = mx + b and solve for b. Using the point (-1, -9), we have -9 = 3(-1) + b. Solving for b gives us b = -9 + 3 = -6.
Therefore, the equation of the line is y = 3x - 6, where the slope is 3 and the y-intercept is -6.