Question

Vladimir says that the equation of the line that passes through points (-5,-3) and (10,9) is y=4/5x+1 Robyn says that the line passes through the points (-10,-7) and (-15,-11) Who is correct?

Answer 1

Answer:

Robyn and Vladimir both are correct.

Step-by-step explanation:

Vladimir says that the equation of the line the passes through points (-5, -3) and (10,9) is y = $\frac{4}{5}$ x + 1

Let's find the equation of line

Slope of the line passing through ( -5, -3 ) and (10, 9 )

$m=\frac{y-y'}{x-x'}=\frac{9+3}{10+5}=\frac{12}{15}=\frac{4}{5}$

So equation will be y = $\frac{4}{5}$x + c

Since the line passes through (-5, -3)

so (-3) = $\frac{4}{5}$x (-5) + c

(-3) = -4 + c

c = -3 +4 = 1

So equation should be y = $\frac{4}{5}$x +1

Therefore, Vladimir is correct.

Robyn says this line is passing through  (-10,-7) and (-15, -11)

Slope $m=\frac{y-y'}{x-x'}=\frac{-11+7}{15+10}=\frac{-4}{-5}=\frac{4}{5}$

equation is y = $\frac{4}{5}$x + c

Since this line passes through (-10 -7)

so (-7) = $\frac{4}{5}$x (-10) + c

-7 = -8 + c ⇒ c = 8 - 7 = 1

Equation of the line will be y = $\frac{4}{5}$x + 1

So Robyn and Vladimir both are correct.

Answer 2

Answer:

Both of them are correct

Step-by-step explanation:

Given the equation: y = (4/5)*x + 1, we want to check if some points belongs to it. To do so, just replace the coordinates of the point in the equation and check if the equality is satisfied.

Point (-5, -3)

-3 = (4/5)*(-5) + 1

-3 = -3 -> equation satisfied

Point (10, 9)

9 = (4/5)*10 + 1

9 = 9 -> equation satisfied

Then, Vladimir is correct

Point (-10, -7)

-7 = (4/5)*(-10) + 1

-7 = -7 -> equation satisfied

Point (-15, -11)

-11 = (4/5)*(-15) + 1

-11 = -11 -> equation satisfied

Then, Robyn is correct.