Final answer:
To write an equation in slope intercept form given two points, use the formula y = mx + b. Find the slope using the formula m = (y2 - y1) / (x2 - x1), then substitute one of the points and the slope into the equation to solve for the y-intercept. The equation in slope intercept form is y = 3x - 15.
Step-by-step explanation:
To write an equation in slope intercept form given two points, we can use the formula y = mx + b, where m is the slope and b is the y-intercept. First, we need to find the slope using the formula m = (y2 - y1) / (x2 - x1). Let's use the points (4, -3) and (3, -6). The slope would be m = (-6 - (-3)) / (3 - 4). Simplifying this gives us m = -3 / -1 = 3. Now, let's subtitute one of the points and the slope into the equation, such as (4, -3). We get -3 = 3(4) + b. Solving for b, we have b = -3 - 12 = -15. Therefore, the equation in slope intercept form is y = 3x - 15.
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