Rhys Melendez

2023-03-11

How to find the slope and y intercept to sketch $7x+6y=30$?

memorativl2f

The standard form of a linear equation is used for this equation. The standard form of a linear equation is:
$Ax+By=C$
Where, if at all possible, $A$, $B$, and $C$ are integers, and A is non-negative, and, A, B, and C have no common factors other than 1
$7x+6y=30$
The slope of an equation in standard form is: $m=-\frac{A}{B}$
Substituting the values from the equation in the problem gives:
$m=-\frac{7}{6}$
The $y$-intercept of an equation in standard form is: $\frac{C}{B}$
Substituting the values from the equation in the problem gives:
$\frac{30}{6}=5$ or $\left(0,5\right)$

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