To find the slope of the line passing through the points (-3,7) and (-6,8), we use the formula:
slope (m) = (y2 - y1) / (x2 - x1)
Plugging in the coordinates, we have:
slope (m) = (8 - 7) / (-6 - (-3))
slope (m) = 1 / -3
Next, we can use the slope-intercept form of a linear equation, which is:
y = mx + b
where m is the slope and b is the y-intercept.
Let's substitute the slope (m) into the equation:
y = (-1/3)x + b
Now, to find b (the y-intercept), we can substitute the coordinates of one of the points into the equation. Let's use (-3,7):
7 = (-1/3)(-3) + b
7 = 1 + b
b = 7 - 1
b = 6
Finally, we can write the equation of the line in fully simplified slope-intercept form:
y = (-1/3)x + 6
Write the equation of the line in fully simplified slope-intercept form.
(-3,7), (-6,8)
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