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Math  /  Geometry

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Vhat is an equation of the line that passes through the points (7,−3)(7,-3) and (−8,−3)(-8,-3) ? Answer Attempt 1 out of 2

Studdy Solution

STEP 1

1. We are given two points: (7,−3) (7, -3) and (−8,−3) (-8, -3) .
2. We need to find the equation of the line passing through these points.

STEP 2

1. Determine the slope of the line.
2. Use the point-slope form to find the equation of the line.
3. Simplify the equation to the slope-intercept form, if necessary.

STEP 3

Determine the slope of the line using the formula for the slope between two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2):
m=y2−y1x2−x1 m = \frac{y_2 - y_1}{x_2 - x_1}
Substitute the given points (7,−3)(7, -3) and (−8,−3)(-8, -3):
m=−3−(−3)−8−7 m = \frac{-3 - (-3)}{-8 - 7} m=0−15 m = \frac{0}{-15} m=0 m = 0
The slope of the line is 00.

STEP 4

Since the slope m=0m = 0, the line is horizontal. The equation of a horizontal line passing through the point (7,−3)(7, -3) is:
y=−3 y = -3

STEP 5

The equation is already in its simplest form, which is the slope-intercept form for a horizontal line.
The equation of the line is:
y=−3 \boxed{y = -3}

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