Determine the y-intercept of the following equation. (x-4)(x-1)=y (4,0) (4,0) and (1,0) (0,4) (-4,0) and (1,0) (0,4) and (0,1) (0,-4)

Concept of y-intercept: Understand the concept of a y-intercept. The y-intercept of an equation is the point where the graph of the equation crosses the y-axis. This occurs when the x-value is 0.Substitute x = 0: Substitute x = 0 into the equation to find the y-intercept. We have the equation (x-4)(x-1)=y. To find the y-intercept, we set x to 0 and solve for y. (0-4)(0-1)=yPerform multiplication: Perform the multiplication to solve for y. y = (-4)(-1) y = 4Write y-intercept as coordinate: Write down the y-intercept as a coordinate. The y-intercept is the point where x is 0, so the coordinate of the y-intercept is (0, y-value). The y-intercept is (0, 4).

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Determine the
y-intercept of the following equation.

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

(4,0)

(4,0) and
(1,0)

(0,4)

(-4,0) and
(1,0)

(0,4) and
(0,1)

(0,-4)

Determine the $y$ -intercept of the following equation. $\newline$ $(x-4)(x-1)=y$ $\newline$ $(4,0)$ $\newline$ $(4,0)$ and $(1,0)$ $\newline$ $(0,4)$ $\newline$ $(-4,0)$ and $(1,0)$ $\newline$ $(0,4)$ and $(0,1)$ $\newline$ $(0,-4)$

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Math Problems

Algebra 2

Write a quadratic function from its x-intercepts and another point

Full solution

Q. Determine the

y

-intercept of the following equation.

\newline

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

\newline

(4,0)

\newline

(4,0)

and

(1,0)

\newline

(0,4)

\newline

(-4,0)

and

(1,0)

\newline

(0,4)

and

(0,1)

\newline

(0,-4)

Concept of y-intercept: Understand the concept of a $y$ -intercept. The $y$ -intercept of an equation is the point where the graph of the equation crosses the $y$ -axis. This occurs when the $x$ -value is $0$ .
Substitute $x = 0$ : Substitute $x = 0$ into the equation to find the y-intercept. $\newline$ We have the equation $(x-4)(x-1)=y$ . To find the y-intercept, we set $x$ to $0$ and solve for $y$ . $\newline$ $(0-4)(0-1)=y$
Perform multiplication: Perform the multiplication to solve for $y$ . $y = (-4)(-1)$ $y = 4$
Write y-intercept as coordinate: Write down the y-intercept as a coordinate. $\newline$ The y-intercept is the point where $x$ is $0$ , so the coordinate of the y-intercept is $(0, y\text{-value})$ . $\newline$ The y-intercept is $(0, 4)$ .