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>L.6 Slope-intercept förf: WI

A line passes through the points (-3, 1) and (3, -2). Write its equation in slope-intercept
form.
intogorc
proper fractions and improper fractions in simplest form.

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Final answer:

To write the equation of a line in slope-intercept form, we need to determine the slope and the y-intercept. Given the points (-3, 1) and (3, -2), the slope is -1/2 and the y-intercept is -1/2. Thus, the equation of the line in slope-intercept form is y = -1/2x - 1/2.


Step-by-step explanation:

To write the equation of a line in slope-intercept form, we need to determine the slope and the y-intercept. The slope-intercept form of a line is y = mx + b, where m is the slope and b is the y-intercept.

Given the points (-3, 1) and (3, -2), we can find the slope using the formula:

m = (y2 - y1) / (x2 - x1)

Substituting the values from the given points, we have:

m = (-2 - 1) / (3 - (-3)) = -3/6 = -1/2

Now, we can substitute the slope and one of the given points into the slope-intercept form and solve for the y-intercept:

1 = (-1/2)(-3) + b

1 = 3/2 + b

b = 1 - 3/2 = -1/2

Therefore, the equation of the line in slope-intercept form is: y = -1/2x - 1/2


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