What is the equation of the line that passes through the points (−3,4) and (−6,3) ? Write the answer in slope-intercept form.(1 point)
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To find the equation of a line given two points, we first need to find the slope, which is the change in y divided by the change in x.
Let's call the coordinates of the first point (-3,4), so x1 = -3 and y1 = 4.
Let's call the coordinates of the second point (-6,3), so x2 = -6 and y2 = 3.
The formula for slope is: m = (y2 - y1)/(x2 - x1)
Plugging in the values, we get:
m = (3 - 4)/(-6 - (-3))
m = (-1)/(-6 + 3)
m = -1/-3
m = 1/3
Now we can use the slope-intercept form of a line, which is: y = mx + b, where m is the slope and b is the y-intercept.
Let's use the point (-3,4) to solve for b:
4 = (1/3)(-3) + b
4 = -1 + b
b = 4 + 1
b = 5
Now we can write the equation of the line:
y = (1/3)x + 5