Respuesta :

graph pass thru (1,1) and (0,3)

answer is 
A. y = –2x + 3

if x = 1  then y = –2x + 3 = -2(1) + 3 = 1
if x = 0 then  y = –2x + 3 = -2(0) + 3 = 3
calculista

Let

[tex]A(0,3) B(1,1)[/tex]

Step 1

Find the slope of the line

we know that

the formula to calculate the slope between two points is equal to

[tex]m=\frac{(y2-y1)}{(x2-x1)}[/tex]

substitute the values

[tex]m=\frac{(1-3)}{(1-0)}[/tex]

[tex]m=\frac{(-2)}{(1)}[/tex]

[tex]m=-2[/tex]

Step 2

Find the y-intercept

we know that

the y-intercept is the value of y when the value of x is equal to zero

in this problem the y-intercept is the point [tex]A(0,3)[/tex]

Step 3

Find the equation of the line into slope-intercept form

we know that

the equation of the line into slope-intercept form is equal to

[tex]y=mx+b[/tex]

we have

[tex]m=-2[/tex]

[tex]b=3[/tex] -----> b is equal to the y-coordinate of the y-intercept

substitute

[tex]y=-2x+3[/tex]

therefore

the answer is the option A

[tex]y=-2x+3[/tex]


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