Mathematics, 18.10.2019 10:10 hviland4371

7. write the equation of a line that includes the point (1, 5) and has a slope of 3 in slope-intercept form.
a) 3x + y = 2
b) -3x + y = 5
c) -3x + y = 2
d) 3x + y = 5

Answers: 3

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Answers

The answer is: [C]: " y = 3x + 2 " .

Explanation:

   In "slope-intercept form" ; the equation is written in the following form:

    " y = mx + b "  ; with the "y" as a single variable on the "left-hand side" of the equation; and "m" is slope of the line and coefficient of "x" ; and "b" is the "y-intercept" (or more precisely, the coordinate of "x" when "y = 0").

   Answer choice: [C]: " -3x + y = 2 " ; written in slope-intercept is as follows.

      Given: -3x + y = 2 ; add "3x" to EACH side of the equation ; to isolate "y" as a single variable on the "left-hand side of the equation ;

                 -3x + y + 3x = 2 + 3x ;

  to get:    y = 2 + 3x ; rewrite as:
                   ↔ " y = 3x + 2 " ;

             and the equation is in "slope-intercept form" ;  that is:

                   " y = mx + b " ;

in which the slope, "m", equals "3" ; and the point:  "(1, 5)" is included.

              {that is ; when "x = 1, y = 5 "} ;

           → y = 3x + 2 ;   3(1) + 2 =  3 + 2 = 5 .

Answer from: Quest

175

step-by-step explanation:

2 inches x 10 miles = 200 miles - 3 inches = 175

Answer from: Quest

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m= $\frac{b}{a}$ (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m= $\frac{-12}{20}$

m= $\frac{-3}{5}$

putting the value of a,b and m in equation (i) gives us

-12 = $\frac{-3}{5} *20$ + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.

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