Aline has a slope of 1/4 and passes through point (0.4,-1/2) . what is the value of the y-intercept? a. –0.6b. –0.4 c. 0.275d. 0.525

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 )

A. - 0.6

Step-by-step explanation:

Since, the equation of a line passes through , having slope m is,

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

For y-intercept, x = 0,

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

Option 'A' is correct.

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step-by-step explanation: