Final answer:
The slope intercept form equation of the line passing through (-3, 9) and (0, 5) is y = (-4/3)x + 13.
Step-by-step explanation:
The slope intercept form equation of a line is given by y = mx + b, where m is the slope of the line and b is the y-intercept. To find the equation of the line passing through the points (-3, 9) and (0, 5), we need to first find the slope.
The slope (m) is determined by the formula m = (y2 - y1) / (x2 - x1). Substituting the values of the points, we have m = (5 - 9) / (0 - (-3)) = -4 / 3.
Now that we have the slope, we can use one of the points and the slope to find the y-intercept (b) using the formula b = y - mx. Let's use the point (-3, 9): b = 9 - (-4 / 3)(-3) = 9 + 4 = 13.
Therefore, the equation of the line passing through the points (-3, 9) and (0, 5) in slope intercept form is y = (-4/3)x + 13.
Learn more about slope intercept form equation