Question

find equation of line with slope -3/2 and passing through point (1,2)

Answer 1

Step-by-step explanation:

find equation of line with slope -3/2 and passing through point (1,2)

Answer 2

Answer: The equation of line with slope -3/2 and passing through point (1,2):- 3x+2y=7.

Step-by-step explanation:

find equation of line with slope -3/2 and passing through point (1,2):-

To get the equation of a line:-

using the point intercept form:-

We know that:-

Point Slope Form Derivation

Suppose that P1(x1, y1) is a fixed point on a non-vertical line L, whose slope is m.

Let P (x, y) be an arbitrary point on the line L

The slope of a line passing through the points (x1, y1) and (x, y) is the ratio of difference of y-coordinates and the difference of x-coordinates.

m = (y – y1)/ (x – x1)

⇒ y – y1 = m(x – x1)….(i)

As the point, P1(x1, y1) including all points (x, y) on L satisfies the equation (i), and no other point in the plane satisfies the above equation.

So, the equation (i) is undoubtedly the equation for the given line L.

Thus, the point (x, y) lies on the line with slope m through the fixed point (x1, y1), if and only if, its coordinates satisfy the equation.

y – y1 = m(x – x1)

Therefore, this is the point-slope form of a line equation:-

so here:-

The equation:-

(y-2)=(-3/2)(x-1):-

This is the equation of the line:-

2y-4=-3x+3.

So the equation of line is:-

3x+2y=7,

Answer:-The equation of line with slope -3/2 and passing through point (1,2):- 3x+2y=7.

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