Question

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



​y+4=2/5(x+7) ​

y+7=2/5(x+4)

y−4=2/5(x−7)

y−7=2/5(x−4)

Answer 1

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

Answer 2

The point slope form of the line with slope 2/5 that passes through the point (−4, −7) is; y+7=2/5(x+4)

The point slope form of the equation of a straight line is of the form;

(y - b) = m(x - a)

where:

• b and a are y and x coordinates of a given point on the line.

• m = slope of the straight line.

By substituting the given values of slope, and the x- and y- coordinates; we then have;

• (y -(-7)) = 2/5(x−(-4))

• y+7 = 2/5 (x+4)

Consequently, the point slope form of the line with slope 2/5 that passes through the point (−4, −7) is; y+7=2/5(x+4)

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