Question

Which is an equation of the line with a slope of 2/3 passing through the point (4, -1)?

Answer 1

Answer:

y + 1 = (2/3)(x - 4) is the desired formula

Step-by-step explanation:

Start with the general point-slope formula y - k = m(x - h), where (h, k) is the given point and m is the given slope.

Given the point (4, -1), we substitute 4 for h in this general formula, -1 for k and 2/3 for m:

y + 1 = (2/3)(x - 4) is the desired formula.

Answer 2

The equation of the  line with a slope of 2/3 passing through the point (4, -1) should be considered as the $y + 1 = (2/3)(x - 4)$

Calculation of the equation of the  line :

Since

we know that

The formula for general point slope should be

y - k = m(x - h),

where (h, k) is the given point and m is the given slope.

Since the point (4, -1),

So here we substitute 4 for h in this general formula, -1 for k and 2/3 for m:

Therefore, The equation of the  line with a slope of 2/3 passing through the point (4, -1) should be considered as the $y + 1 = (2/3)(x - 4)$

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