Write the standard form of the equation of the line through the given point with the given slope through:(1, 2), slope = 7.

Solution:

Given, slope = 7

Point (1, 2)

We have to find the standard form of the equation of the line passing through the given point.

The standard form of the equation of the line is ax + by = c.

The point-slope form of the equation is given by

(y - y₁) = m(x - x₁)

Here, (x₁, y₁) = (1, 2) and m = 7

(y - 2) = 7(x - 1)

By multiplicative and distributive property,

y - 2 = 7x - 7

On rearranging,

7x - y - 7 = - 2

7x - y = -2 + 7

7x - y = 5

Therefore, the standard form of the equation of the line is 7x - y = 5.

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Write the standard form of the equation of the line through the given point with the given slope through:(1, 2), slope = 7.

Summary:

The standard form of the equation of the line through the given point with the given slope through:(1, 2), slope = 7 is 7x - y = 5.