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What is the equation, in slope intercept form, of a line whose slope is three times the value of the y-intercept.

Rewrite your equation from A in point-slope form.
Determine the x-intercept for the function.
Determine the inverse of the function.

Equation in slope intercept form: y = 3x + b

Equation in point-slope form: y - b = 3(x - 0)

X-intercept: (0, b)

Inverse of the function: x = (y - b)/3

Did you know?

In mathematics, the slope-intercept form of a line's equation is represented as y = mx + b, where m is the slope and b is the y-intercept. In this case, the equation of the line can be written as y = 3bx + b, since the slope is three times the value of the y-intercept. To rewrite the equation in point-slope form, we can use the formula y - y₁ = m(x - x₁). In this case, the coordinates of a point on the line can be (x₁, y₁) = (0, b). Substituting these values, the equation becomes y - b = 3bx. The x-intercept of a function represents the value of x when y is equal to zero. To find it, we can set y equal to zero and solve for x in the equation 0 = 3bx + b. This will give us the x-intercept of the function. Determining the inverse of a function involves swapping the x and y variables in the equation and solving for y. In this case, the inverse of the function would be in the form x = 3by + b. Solving for y would provide the inverse function.