Rhys Melendez

2023-03-11

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

memorativl2f

Beginner2023-03-12Added 5 answers

The standard form of a linear equation is used for this equation. The standard form of a linear equation is:

$A}x+{B}y={C$

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

$7}x+{6}y={30$

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 $(0,5)$

$A}x+{B}y={C$

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

$7}x+{6}y={30$

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 $(0,5)$

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