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Q42.
Expert-verifiedFind the x-intercept and the y-intercept of the graph of each equation. Then graph of the equation.
$2x+5y-10=0$
The x-intercept of the given equation is $5$ and the y-intercept is $2.$
A linear equation $2x+5y-10=0$.
The y-coordinate of the point at which a graph crosses the y-axis is called the y-intercept.
So, the y-intercept is the value of $y$ when $x=0.$
The x-coordinate of the point at which a graph crosses the x-axis is called the x-intercept.
So, the x-intercept is the value of $x$ when $y=0.$
From the given information,
$\begin{array}{l}2x+5y-10=0\\ \Rightarrow 2x+5y=10......\left(1\right)\end{array}$
Substitute the $y=0$ in the equation (1).
$\begin{array}{l}2x+5\times 0=10\\ \Rightarrow 2x=10\\ \Rightarrow x=5\end{array}$
Therefore, the x-intercept is $5$ and the coordinate is
$\left(5,0\right).$
Now, substitute the $x=0$ in the given equation (1).
$\begin{array}{l}2\times 0+5y=10\\ \Rightarrow 5y=10\\ \Rightarrow y=2\end{array}$
Therefore, the y-intercept is $2$ and coordinate is $\left(0,2\right).$
The graph of the given equation is:
Compare the quantity in Column A and the quantity in Column B. Then determine whether:
A. the quantity in Column A is greater,
B. the quantity in Column B is greater,
C. the two quantities are equal, or
D. the relationship cannot be determined from the information given.
The cost of 3 bananas and 2 apples is $1.50.
Column A | Column B |
Cost of one apple | Cost of one banana |
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