*REVISED* Please help me solve the following equation - This equation passes through (1,-1) and (4,14)?

Question

is the answer a). 5x+6y=19 b). 5x-6=y c). -x+4y=15 d). 4x+5y= -1

please list the steps for solving this equation..
thank you

Answer 1

(1,-1), (4,14)

Start off with the formula
y2-y1
x2-x1
equals m (slope)

14-(-1) = 15
//4-1 = 3
15/3 = m = slope = 5

Then using the slope, use the formula y-y1=m(x-x1)
y-(-1)=5(x-1)
y-(-1)=5x-5
y=5x-6

"y = 5x - 6" is your equation
Seeing all your answer choices are in Standard Equation form, you have to change "y = 5x - 6" into Standard Form.

y=5x-6
5x-6=y
So your answer choice is "B".

Thanks for revising your question.
Your welcome, hope this helped.

Answer 2

First, discover the slope for factors (a million,a million) and (4,14) m(slope) = (y2 – y1) / (x2 – x1) = (14 – a million) / (4 – a million) = 13/3 2d, discover slope for different 4 equations: Y = mx +b 5x + 6y = 19 6y = -5x + 19 y = -5/6 + 19/6 m = -5/6 5x – 6 = y y = 5x – 5 m = 5 -x + 4y = 15 4y = x + 15 y = ¼*x + 15/4 m = ¼ 4x + 5y = -a million 5y = -4x -a million y = -4/5*x – a million/5 m = -4/5 when you consider that not one of the slope above experience, we ought to discover the equation by using formula y – y1 = m(x – x1) (we are able to p.c.. factors (a million,a million) or (4,14), yet I extremely do the easy one) Y – a million = 13/3 (x – a million) Y – a million = 13/3x – 13/3 Y = 13/3x – 13/3 + a million Y = 13/3x – 10/3 factors (a million, 4) and (4, 14) has the equation of y = 13/3x – 10/3

Answer 3

Simply place x =1 and y = -1 in each equation.

a) (5)(1) + 6(-1) = 19 This gives -1 = 19 which is false.
b) (5)(1)- 6 = - 1 This gives -1 = -1. So now we must check the other point (4,14) as follows:
(5)(4) -6 =14 or 20 -6 = 14 0r 14 =14.
Both points satisfy equation b) so it is the answer.

Answer 4

gradient=14-(-1)/4-1=15/3=5
equation : y-14=5(x-4)
y=5x-6

Answer 5

You want to find the slope of the line.

14+1/4-1

slope = 5 now just look for the equation that will have the slope of 5 b has this slope. (slope intercept form is y=mx+b)

Answer 6

(y+1)/(14+1)=(x-1)/(4-1)
3y+3=15x-15
3y-15x+18=0
5x-6=y