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For the given equation, find the slope and the
y-intercept. Use these to graph the equation.

5x+6y=42

For the given equation, find the slope and the $y$ -intercept. Use these to graph the equation. $\newline$ $5 x+6 y=42$

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Describe the graph of a linear equation

Full solution

Q. For the given equation, find the slope and the

y

-intercept. Use these to graph the equation.

\newline

5 x+6 y=42

Convert to slope-intercept form: Step $1$ : Convert the equation to slope-intercept form $y = mx + c$ . $\newline$ Calculation: $5x + 6y = 42$ $\newline$ $6y = -5x + 42$ $\newline$ $y = \frac{-5}{6}x + 7$
Identify slope and y-intercept: Step $2$ : Identify the slope and y-intercept from the equation $y = \frac{-5}{6}x + 7$ . $\newline$ Calculation: Slope ( $m$ ) = $-\frac{5}{6}$ , y-intercept ( $c$ ) = $7$
Plot y-intercept on graph: Step $3$ : Plot the y-intercept on the graph. $\newline$ Calculation: Start at point $(0, 7)$ on the y-axis.
Use slope to find point: Step $4$ : Use the slope to find another point. $\newline$ Calculation: From $(0, 7)$ , move $6$ units up and $5$ units to the right to reach $(5, 13)$ .

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Question

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\newline

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\newline

\newline

\text{(A)horizontal line}

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Question

Rewrite the following equation in standard form.

\newline

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Question

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