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3 years ago

What is the point slope form of the line with slope 2/5 that passes through the point (−4, −7) ?

Mathematics

1 answer:

fredd [130]3 years ago

8 0

y + 7 = $\frac{2}{5}$ (x + 4)

the equation of a line in ' point- slope form ' is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

here m = $\frac{2}{5}$ and (a , b ) =( - 4, - 7)

y + 7 = $\frac{2}{5}$ (x + 4) → equation in point- slope form

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Step-by-step explanation:

Calculate the distance between the points using the distance formula

d = √ (x₂ - x₁ )² + (y₂ - y₁ )²

with (x₁, y₁ ) = (0, 5) and (x₂, y₂ ) = (- 5, 0)

d = $\sqrt{(-5-0)^2+(0-5)^2}$

= $\sqrt{(-5)^2+(-5)^2}$

= $\sqrt{25+25}$ = $\sqrt{50}$ = 5 $\sqrt{2}$ ← exact value

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