Final answer:
To find the equation in slope-intercept form, we use the formula y = mx + b. Given the points (-3, -4) and (0, -3), we can find the slope (m) using the formula and then find the y-intercept (b) using one of the points. Plugging in the values, the equation in slope-intercept form is y = (-1/3)x - 5.
Step-by-step explanation:
To find the equation in slope-intercept form, we need to use the formula: y = mx + b. We are given two points, (-3, -4) and (0, -3). To find the slope (m), we can use the formula: m = (y2 - y1) / (x2 - x1). Plugging in the values, we get: m = (-3 - (-4)) / (0 - (-3)) = -1 / 3.
Next, we can choose either of the points and plug it into the formula to find the y-intercept (b). Let's use (-3, -4). Plugging in the values, we get: -4 = (-1/3)(-3) + b. Solving for b, we get: -4 = 1 + b, b = -5.
Therefore, the equation in slope-intercept form is: y = (-1/3)x - 5.
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