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Graph each equation by findi
15.
3x-5y=10

Graph each equation by findi $\newline$ $15$ . $3 x-5 y=10$

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Solve equations involving like terms

Full solution

Q. Graph each equation by findi

\newline

15

.

3 x-5 y=10

Solve for y: Step $1$ : Solve for y in terms of x. $\newline$ To graph the equation, we first solve for y. Start by isolating y on one side of the equation. $\newline$ $3x - 5y = 10$ $\newline$ Subtract $3x$ from both sides: $\newline$ $-5y = -3x + 10$ $\newline$ Divide all terms by $-5$ : $\newline$ $y = \frac{3}{5}x - 2$
Identify points: Step $2$ : Identify points to plot. $\newline$ Choose values for $x$ to find corresponding $y$ values. Let's use $x = 0$ , $5$ , and $-5$ . $\newline$ For $x = 0$ : $\newline$ $y = \left(\frac{3}{5}\right)(0) - 2 = -2$ $\newline$ Point: $(0, -2)$ $\newline$ For $x = 5$ : $\newline$ $y = \left(\frac{3}{5}\right)(5) - 2 = 1$ $\newline$ Point: $y$ $0$ $\newline$ For $y$ $1$ : $\newline$ $y$ $2$ $\newline$ Point: $y$ $3$
Plot and draw line: Step $3$ : Plot the points and draw the line. $\newline$ Plot the points $(0, -2)$ , $(5, 1)$ , and $(-5, -5)$ on a graph. Draw a line through these points to represent the equation $3x - 5y = 10$ .

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