Question

Find equation of straight line passing through the point (-1,3)and with ratio of x intercept to Y intercept is 2:3​

Answer 1

the y-intercept twice the x-intercept” indicates that the slope of the line i.e., m = 2. The general form of a line is y = mx + c. You are required to find the value of c.

Thus, 5 = 2*3 + c, or c = -1.

The equation of the line is therefore, y = 2x-1

Answer 2

Concept

if the slope of a line is m and (x1, y1) is a point on the line then the equation of the line is given as follows

y - y1 = m (x - x1)

Given

a straight line passing through point (-1,3) and the ratio of x intercept to Y intercept is 2:3​

Find

we need to find the equation of the given line

Solution

since the ratio of x intercept to Y intercept is 2:3​

Let the x and y intercepts be 2x and 3x respectively

then we get two points

(2x,0) and (0,3x)

Thus, the slope m will be

m = 3x-0/0-x

m = 3x/-x

m = 3/-1

m = -3

Thus, we have slope as -3 and we already have one point (-1,3)

using point slope for we can find the equation of the line as follows

y-3 = -3 (x+1)

y-3 = -3x - 3

y = -3x

Thus the equation of the line will be y = -3x

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