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destinyleisantos
14.12.2019 •
Mathematics
Write the equation in slope-interept form of the line that passes through (6,-11) and is parallel to the graph of y=-2/3x +12
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Ответ:
y = -
x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = -
x + 12 ← is in slope- intercept form
with slope m = -![\frac{2}{3}](/tpl/images/0417/8908/d1391.png)
Parallel lines have equal slopes, thus
y = -
x + c ← is the partial equation
To find c substitute (6, - 11) into the partial equation
- 11 = - 4 + c ⇒ c = - 11 + 4 = - 7
y = -
x - 7 ← equation of parallel line
Ответ:
x < 4
Step-by-step explanation:
3x - 3 < 9
3x - 3 + 3 < 9 + 3
3x < 12
x < 4