All categories

2 years ago

Write the equation of a line with the given slope that goes through the given point.

Mathematics

1 answer:

mihalych1998 [28]2 years ago

8 0

Answer:

7) y +5 = -(x -3)

8) y -2 = 5/3(x -3)

Step-by-step explanation:

The point-slope form of the equation for a line is ...

y -k = m(x -h) . . . . . line with slope m through point (h, k)

7) y +5 = -(x -3)

8) y -2 = 5/3(x -3)

You might be interested in

Which equation represents a line that passes through the point ( 6 , − 3 ) and is parallel to the graph of y = 3 x + 1 ?

Ratling [72]

Answer:

y + 3= 3(x - 6) ← point-slope form

y = 3x - 21 ← slope-intercept form

3x - y = 21 ← standard form

Step-by-step explanation:

The point-slope form of the equation of line it's y - y₁ = m(x - x₁), where m is the slope and (x₁, y₁) is the point the line passing through.

y=m₁x+b₁ ║ y=m₂x+b₂ ⇔ m₁ = m₂

{Two lines are parallel if their slopes are equal}

y = 3x + 1 ⇒ m₁ = 3 ⇒ m₂ = 3

(6, -3) ⇒ x₁ = 6, y₁ = -3

point-slope form:

y - (-3) = 3(x - 6)

y + 3 = 3(x - 6)

y + 3 = 3x - 18 {subtact 3 from both sides}

y = 3x - 21 ← slope-intercept form

-3x + y = -21 {multiply both sides by (-1)}

3x - y = 21 ← standard form

8 0

3 years ago

Samir and Christian had a total of 360 marbles Samir lost 28 marbles while Christian brought 18 more marbles both of them had an

Musya8 [376]

The answer to question is whether you want me some of your questions about the question of the answer to answer question i question is the B.

5 0

3 years ago

Read 2 more answers

Which line has an equation of y=-5x+4 in slope-intercept form?

stellarik [79]

Answer:

Last choice.

Step-by-step explanation:

To find the option that is equivalent to this equation, we can begin by narrowing down our options. The slope contains a negative number, meaning the second point must have a lower y value than the first.

Using this criteria, we can eliminate the first and the third answer. Now, we can test the second and fourth answer.

We can test using the slope formula and plugging in values. When the slope formula: $m= \frac{y_{2}-y_{1} }{x_{2} -x_{1} }$

We get a slope of -5 for both of these equations. Let's plug in the point values to check whether they work:

Choice 2:

-24 = -5(4) + 4

-24 = -20 + 4

-24 ≠ -16

Choice 4:

-16 = -5(4) + 4

-16 = -20 + 4

-16 = -16

Therefore, choice 4 is correct!

4 0

2 years ago

Solve 7(-1 + 4x) – 12x = 5. Check your solution.

Rzqust [24]

Answer:

x= $\frac{3}{4}$ or 0.75

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

What percent of 25 is12<br><br> And how do I work it

Sergio [31]

12/25 * 100 = 48%

Amount/Whole Amount * 100

5 0

3 years ago

Read 2 more answers