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Nata [24]
3 years ago
15

Write this equation in standard form y + 4 = 2/3 (x+7)

Mathematics
2 answers:
Lisa [10]3 years ago
7 0

Answer:

\[y = \frac{2}{3}x + \frac{2}{3}\]

Step-by-step explanation:

Given equation:

\[y + 4 = 2/3 (x+7)\]  ------------------------ (1)

Standard form of the equation:

\[y = mx + c\] --------------------------------- (2)

where m is the slope and c is the intercept.

Simplifying equation 1 in the format represented by 2:

\[y + 4 = 2/3 x+7)\]

=> \[y + 4 = \frac{2}{3}x + \frac{14}{3}\]

=> \[y = \frac{2}{3}x + \frac{14}{3} - 4\]

=> \[y = \frac{2}{3}x + \frac{2}{3}\]

Karo-lina-s [1.5K]3 years ago
5 0

Answer:

y=\frac{2}{3}x+\frac{2}{3}

Step-by-step explanation:

The standard equation of a straight line is of the form:

y=mx+c

We have to convert the given equation into above form.

Simplifying the given equation:

y=\frac{2}{3}x+\frac{14}{3}-4

         =\frac{2}{3}x+\frac{(14-12)}{3}

        =\frac{2}{3}x+\frac{2}{3}.- This is in standard form

where m=c=\frac{2}{3}

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Answer:

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Step-by-step explanation:

When a circle is centered at the origin, the radius to point (a, b) will have slope m = b/a. The tangent is perpendicular to the radius, so the tangent at point (a, b) will have slope -a/b. In point-slope form, the equation of the tangent line will be ...

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