fortnitesupport fortnitesupport
  • 09-05-2018
  • Mathematics
contestada

Make up an equation of the form y = kx +b, the graph of which passes through the following points:

P (4, 1) and Q (3, –5)

Respuesta :

Riia
Riia Riia
  • 17-08-2018

The given points are

[tex] P(4,1) , Q(3,-5) [/tex]

First we find the slope using slope formula which is

[tex] m= \frac{y_{2} - y_{1}}{x_{2}- x_{1}} [/tex]

Substituting the values of x1,y1 and x2, y2, we will get

[tex] m = \frac{-5-1}{3-4} = 6 [/tex]

Now we use slope point form, which is

[tex] y-y_{1} = m (x-x_{1}) [/tex]

Using the values of m,x1 and y1, we will get

[tex] y-1=6(x-4) \\
y-1=6x-24 \\
y = 6x-23 [/tex]

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