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3 years ago

What value of k makes the statement true? –(k+12) = 6+(–12) a. –18 b. –6 c. 6 d. 18

Mathematics

1 answer:

MAVERICK [17]3 years ago

8 0

-(-6+12)=6+(-12)
6-12=6-12
6-12=-6
therefore:
-6=-6
this is a true statement
answer is B

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a line with the slope of 1/3 passes through the points of (6,0). what is the equation in slope intercept form?

sleet_krkn [62]

Answer:

y = 1/3x -2

Step-by-step explanation:

the equation for slope intercept form is y= mx + b.

m is the slope and b is where the line crosses the y-axis which is called the y-intercept.

to find the y-intercept plug in a coordinate on the line (6,0)

0 = 1/3(6) + b

then solve for b by first multiplying 1/3 by 6

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subtract 2 from both sides

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and then you can plug b into the equation

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2 years ago

The line that contains the point Q( 1, -2) and is parallel to the line whose equation is y - 4 = 2/3 (x - 3)

Musya8 [376]

Answer:

y + 2 = $\frac{2}{3}$ (x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

y - 4 = $\frac{2}{3}$ (x - 3) ← is in point- slope form

with slope m = $\frac{2}{3}$

Parallel lines have equal slopes, thus equation of parallel line

with m = $\frac{2}{3}$ and (a, b) = Q(1, - 2) is

y - (- 2) = $\frac{2}{3}$ (x - 1) , that is

y + 2 = $\frac{2}{3}$ (x - 1)

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