$y+2=-3(x-1)\\\\\text{It's a point-slope form of an equation of a line}.\\\\\text{The standard form is:}\ Ax+By=C.\\\\\text{Convert:}\\\\y+2=-3(x-1)\qquad\text{use the distributive property}:\ a(b+c)=ab+ac\\\\y+2=(-3)(x)+(-3)(-1)\\\\y+2=-3x+3\qquad\text{subtract 2 from both sides}\\\\y+2-2=-3x+3-2\\\\y=-3x+1\qquad\text{add}\ 3x\ \text{to both sides}\\\\y+3x=-3x+3x+1\\\\3x+y=1$

6 0

3 years ago

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Complete the equation: 96 in =<br> yd.

disa [49]

Answer:

2.666666667

Step-by-step explanation:

12in=1ft

3ft=1yd

96/12=8

8/3=2.666666667

3 0

3 years ago

Point (-4,-8) Reflected across the x-axis

kkurt [141]

Answer:

(-4 , 8)

Step-by-step explanation:

The x-axis is the horizontal line. In this case, if you are reflecting over the x-axis, you are flipping the sign of the y-coordinate.

Same with the y-axis. If you are reflecting over the y-axis, you are flipping the sign of the x-coordinate.

In this case, reflect across the x-axis. Flip the sign of the y: (x , y)

(-4 , -8) reflected over the x-axis is (-4 , 8).

8 0

3 years ago