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equatWhat is the equation of the line that is parallel to the line y = x + 4 and passes through the point (6, 5)

Respuesta :

Answer:

y=10,x=6

STEP BY STEP EXPLANATION

When x=6

substitute x=6 in equation

y=6+4

y=10

when y=5

substitute y=5 in equation

5=x+4

5-4=x

x=1

cmrc78

Answer:

z = x-1

Step-by-step explanation:

Observe first that the slope of y is 1*x (the one is omitted). Therefore, any line parallel to y must have the same slope. We know there's a line, let's call it z = x + m (for some value m), parallel to y that passes through the point (6, 5) where 6 is the value of  x and 5 is the value of z. Inserting these values into the expression z = 1*x + m we get an equation that we can solve for m.

[tex]5 = 1*6 + m \implies\\5 = 6 + m \implies\\5 - 6 = 6 - 6 + m \implies\\-1 = m[/tex]

Using m = -1 in our equation for z = 1*x + m we get z = x-1.

Note that z is just an arbitrarily chosen variable to replace y. You may use a, b, y or any letter but I use z here to avoid confusion with the original expression.