Respuesta :

dhiab

Answer:

Hello:

the equation is : y = ax+b   when : a is the slope

a = 1/4 .. so : y = (1/4)x +b

passes through point (0.4,-1/2) :  - 1/2 = (1/4)(0.4)  + b

b = - 1/2 - 0.4/4 =  (-2 -0.4)/ 4

b =  - 2.4/4

y = (1/4)x - 2.4/4

the y-intercept if x= 0    y = -2.4/4 = - 0.6 ...( answer : A )

Answer:

A. - 0.6

Step-by-step explanation:

Since, the equation of a line passes through [tex](x_1,y_1)[/tex], having slope m is,

[tex]y-y_1=m(x-x_1)[/tex]

Thus, the equation of the line passes through point (0.4,-1/2) and has the slope of 1/4 is,

[tex]y-(-\frac{1}{2})=\frac{1}{4}(x-0.4)[/tex]

[tex]\implies y+\frac{1}{2}=\frac{1}{4}(x-0.4)[/tex]

For y-intercept, x = 0,

[tex]\implies y+\frac{1}{2}=\frac{1}{4}(-0.4)[/tex]

[tex]\implies y + 0.5 = -0.1[/tex]

[tex]\implies y = -0.1-0.5 = -0.6[/tex]

Hence, the value of the y-intercept is -0.6.

Option 'A' is correct.

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