Final answer:
To write the equation of a line in slope-intercept form, find the slope using the coordinates of the points and use one of the points to find the y-intercept.
Step-by-step explanation:
To write the equation of a line in slope-intercept form, we need to use the formula:
y = mx + b
where m is the slope of the line and b is the y-intercept.
First, we need to find the slope of the line using the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates (-1, 2) and (6, 3), we get:
m = (3 - 2) / (6 - (-1)) = 1 / 7
Next, we can use the slope and one of the given points to find the y-intercept b. We'll use (-1, 2):
2 = (1/7)(-1) + b
Simplifying the equation, we get:
b = 2 + 1/7 = 15/7
Therefore, the equation of the line that passes through the points (-1, 2) and (6, 3) in slope-intercept form is:
y = (1/7)x + 15/7
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