Respuesta :
Answer:
Step-by-step explanation:
y = -x + 3
y = -(x + 12)
y = -x - 12
The equation in slope-intercept form of a line that passes through (-12, 0) and is parallel to y + x = 3 is: y = -x - 12
Recall:
- Parallel lines have the same slope value
- Slope-intercept form of the equation of a line is: y = mx + b.
- b = y-intercept; m = slope
- Point-slope form is: y - b = m(x - a)
The line is parallel to y + x = 3
The slope of y + x = 3 is -1
The slope of the line that is parallel to y + x = 3 will also be: -1
If the line passes through (-12, 0), write the equation in point-slope form, then rewrite in slope-intercept form by doing the following:
- Substitute (a, b) = (-12, 0) and m = -1 into y - b = m(x - a)
- Thus
y - 0 = -1(x -(-12))
y = -1(x + 12)
y = -x - 12
Therefore, the equation in slope-intercept form of a line that passes through (-12, 0) and is parallel to y + x = 3 is: y = -x - 12
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