Answer:
y = 3x + 9
Step-by-step explanation:
To find the equation of a line that goes through two points, we can use the slope-intercept form of a line which is y = mx + b.
First, we need to calculate the slope, m. To do this, we can use the formula m = (y2 - y1)/(x2 - x1). In this problem, we have (6 - (-3))/(-1 - 5) = 9/-6 = -3/2.
Next, we can substitute the slope and one of the points into the slope-intercept form. We'll use (5,-3): y = -3/2x + b. When we plug in the coordinates, we get -3 + b = -3, so b = 0.
Therefore, the equation of the line that goes through the points (5,-3) and (-1,6) is y = -3/2x + 0 or y = 3x + 9.
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