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taurus [48]
3 years ago
11

Write an equation in slope-intercept form that goes through the point (5, -3) and is parallel to y = 3x - 1.

Mathematics
1 answer:
Nesterboy [21]3 years ago
6 0

Answer:

y = 3x -18

Step-by-step explanation:

For this case we have this point given (5,-3) and we want to create an slope intercept formula given by:

y = mx +b

And this equation needs to be parallel to y= 3x-1 so then the slope needs to be equal m =3 and then we can use the point given to find the intercept b like this:

-3 = 3*5 +b

b = 3-15=-18

And the formula for the slope would be given by:

y = 3x -18

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3 years ago
Are the following lines parallel, perpendicular, or neither?
natta225 [31]

Answer:

Perpendicular

Step-by-step explanation:

Parallel lines mean lines that have same slope but since both equations have different slopes which you can check by looking at m-value in y = mx + b. In this case m1 or first slope is -4/3 and m2 or second slope is 3/4.

Perpendicular means that both lines are reciprocal to each other. This means the perpendicular condition is or satisfies \displaystyle \large{m_1m_2 = -1 \longrightarrow m_1 = -\frac{1}{m_2} \longrightarrow m_2 = -\frac{1}{m_1}}

We have m1 = -4/3 and m2 = 3/4.

Therefore, -4/3 * 3/4 = -1 thus both lines are perpendicular to each other as it satisfies m1m2 = -1 condition.

8 0
3 years ago
Please help!!! this is due tomorrow!!1!!11!!!1!
Ronch [10]

Answer: m<KHL = 37 degrees.

m<GHK = 53 degrees

Step-by-step explanation:

<CHD and <KHL are vertical angles. They are equal in measure. m<CHD is 37 degrees, so m<KHL is also 37 degrees.

Notice <GHL is a 90 degree angle (because the lines that form it are perpendicular) and <GHL is made up of two angles: <GHK and <KHL.

m<GHK + m<KHL (37) = m< GHL (90 degrees)

Subtract 37 from both sides.

m<GHK = 53 degrees

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3 years ago
HELP PLEASE!!
Verizon [17]

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