Question

Write an equation in point slope form for the line through the given point with the given slope (7,-9);m=4/5
Possible answers in pic

Answer 1

The point-slope form:

$y-y_1=m(x-x_1)$

We have m = 4/5 and the point (7, -9). Substitute:

$y-(-9)=\dfrac{4}{5}(x-7)\\\\\boxed{y+9=\dfrac{4}{5}(x-7)}$

Answer 2

Equation of the line is a way of representation of the line in a algebraic from with point which form the line in the coordinate system and the slope. Thus the equation of the line passing through the point (7,-9) having the slope 4/5 is,

$(y-7)=\dfrac{4}{5} (x+9)$

Hence, the option 2 is the correct option.

Given Information-

The line passes through the point (7,-9).

The slope of the line is 4/5.

Equation of the line-

Equation of the line is a way of representation of the line in a algebraic from with point which form the line in the coordinate system and the slope.

The standard form of the equation of the line can be given as,

$(y-y_1)=m (x-x_1)$

Here m is the slope of the line.

Thus, the equation of the line passes through (7,-9) having the slope 4/5 can be given as,

$(y-y_1)=m (x-x_1)$

Put the values,

$(y-7)=\dfrac{4}{5} (x-(-9))$

$(y-7)=\dfrac{4}{5} (x+9)$

Thus the equation of the line passing through the point (7,-9) having the slope 4/5 is,

$(y-7)=\dfrac{4}{5} (x+9)$

Thus the option 2 is the correct option.

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