Help I AM STUCKKK I WILL GIVE BRAINLIST One equation in a system of equations is y = 4x + 5. Which equation below would have to be the second equation so that the system has (1, 9) as its only solution?

Question 5 options:

y = 3x - 1

y = 5x + 4

y = -2x - 8

y = 6x - 8

Sorry I have tried it lot but I am not able to find the answer...

I'm Really Sowwy...

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form