Aline has a slope of 1/4 and passes through point (0.4,-1/2). what is the value of the y-intercept?

The value of the y-intercept is

Step-by-step explanation:

The equation of the line in Slope-intercept form is:

Where "m" is the slope and "b" is the y-intercept.

In this case we know that the line passes through point and has a slope of . Then we can substitute the following values into  :

Then:

And finally, we must solve for "b":

For this case we have that by definition, the slope-intersection equation of a line is given by:

Where:

m: It's the slope

y: It is the cut point with the "y" axis

They tell us as data that:

So, the equation is:

We substitute the given point to find "b":

Thus, the cut point with the y axis is -0.6

the answers c

x ≥ 18 is your answer

step-by-step explanation:

let "a number" = x

(2/3)x + 17 ≥ 29

isolate the variable (x). do the opposite of pemdas (parenthesis, exponent (& root), multiplication, division, addition, subtraction).

first, subtract 17 from both sides.

(2/3)x + 17 (-17) ≥ 29 (-17)

(2/3)x ≥ 29 - 17

(2/3)x ≥ 12

next, multiply 3/2 to both sides to isolate the x

(3/2)(2/3)x ≥ 12(3/2)

x ≥ 12(3/2)

simplify. multiply, then divide

x ≥ (12 * 3)/2

x ≥ (36)/2

x ≥ 18

x ≥ 18 is your answer

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