Mathematics, 30.07.2019 23:30 isabelaparis4460

Which equation represents the line that passes through (–6, 7) and (–3, 6)? y = –x + 9 y = –x + 5 y = –3x – 11y y = –3x + 25

Answers: 1

Show answers

Answers

Answer from: Jstylez9712

Step

Find the slope of the line

we know that

the formula to calculate the slope between two points is equal to

$m=\frac{(y2-y1)}{(x2-x1)}$

Let

$A(-6,7)\\B(-3,6)$

substitute the values

$m=\frac{(6-7)}{(-3+6)}$

$m=\frac{(-1)}{(3)}$

m=-1/3

Step

with the slope m and the point A(-6,7) find the equation of the line

we know that

the equation of the line in the point-slope form is equal to

y-y1=m*(x-x1)

substitute the values

y-7=(-1/3)*(x+6)

y=(-1/3)x-2+7

y=(-1/3)x+5

therefore

the answer is

y=(-1/3)x+5

Answer from: girlwonder326

The equation of the line which passes through the points (-6,7) and (-3,6) is $\fbox{\begin\\\ \math x+3y=15\\\end{minispace}}$ .

Further explanation:

It is given that the line passes through the points (-6,7) and (-3,6) .

Consider the point (-6,7) as $(x_{1},y_{1})$ and (-3,6) as $(x_{2},y_{2})$ .

Two points are given through which the line passes so, in order to determine the equation of the line use the two point form equation.

The general representation of the two point form of a equation is as follows:

$\fbox{\begin\\\ \math (y-y_{1})=\left(\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\right)(x-x_{1})\\\end{minispace}}$ (1)

In the above equation the expression $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ is called slope.

Slope of a line is represented as and the expression for is as follows:

$\fbox{\begin\\\ \math m=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\end{minispace}}$ (2)

Substitute for $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$ in equation (1).

$\fbox{\begin\\\ \math (y-y_{1})=m(x-x_{1})\\\end{minispace}}$ (3)

To calculate the value of slope substitute the value of $x_{1},x_{2},y_{1}$ and $y_{2}$ in equation (2).

$\begin{aligned}m&=\frac{6-7}{-3+6}\\&=\dfrac{-1}{3}\end{aligned}$

Therefore, the value of slope of the line is $\frac{-1}{3}$ .

To obtain the equation of the line substitute the value of $m, x_{1}$ and $y_{1}$ in equation (3).

$\begin{aligned}(y-7)&=\frac{-1}{3}(x+6)\\3y-21&=-x-6\\x+3y&=15\end{aligned}$

Therefore, the equation of the line is x+3y=15 .

Thus, the equation of the line which passes through the points (-6,7) and (-3,6) is $\fbox{\begin\\\ \math x+3y=15\\\end{minispace}}$ .

Learn more:

1.A problem to complete the square of quadratic function link

2.A problem to determine the slope intercept form of a line link

3.Inverse function link.

Answer details

Grade: High school

Subject: Mathematics

Chapter: Lines

Keywords: Equation, linear equation, slope, intercept, intersect, graph, curve, slope intercept form, line, point slope form, two point form, equation of a line, (-6,7) and (-3,6).

Answer from: Quest

y < -3

step-by-step explanation:

-3y - 2 > 7

-3y -2 + 2 > 7+2

-3y > 9

-3y/-3 < 9/-3 (change the inequality sign when multiplying or dividing by a negative number)

y < -3

Answer from: Quest

$m< xyz=\frac{1}{2}(a-b)$

$m< xoy=b$

step-by-step explanation :

we know that

the measurement of the outer angle is the semi-difference of the arcs which comprises

in this problem

m< xzy is the outer angle

$m< xyz=\frac{1}{2}(mayor\ arc\ xy-minor\ arc\ xy)$

substitute the values

$m< xyz=\frac{1}{2}(a-b)$

the measure of angle xoy is equal to

$m< xoy=minor\ arc\ xy$ > by central angle

substitute the value

$m< xoy=b$

Which equation is correct regarding the diagram of circle o? a) m∠xzy = (a + b)b) m∠xzy = (a – b)c)

Another question on Mathematics

Mathematics, 21.06.2019 18:30

Ricky takes out a $31,800 student loan to pay his expenses while he is in college. after graduation, he will begin making payments of $190.66 per month for the next 30 years to pay off the loan. how much more will ricky end up paying for the loan than the original value of $31,800? ricky will end up paying $ more than he borrowed to pay off the loan.

Answers: 2

Answer

Mathematics, 21.06.2019 19:10

Alogical argument that is presented in graphical form using boxes and arrows is called?

Answers: 1

Answer

Mathematics, 21.06.2019 19:30

What is the image of c for a 90° counterclockwise rotation about a? (3, 7) (-1, 3) (7, 3)

Answers: 1

Answer

Mathematics, 21.06.2019 23:00

Sam is picking fruit from a basket that contains many different kinds of fruit. which set of events is independent?