Question

the X and Y intercepts of line are 2 and 3 respectively then find the slope of line l​

Answer 1

given, x- intercept of a line = 2 and y - intercept of the line = 3

we know,

standard equation of a line in intercept form is given by, x/a + y/b = 1

where a denotes x - intercept and b denotes y - intercept.

from above a = 2 and b = 3

so, x/2 + y/3 = 1

or, (3x + 2y)/6 = 1

or, 3x + 2y = 6

now, slope of line = -coefficient of x/coefficient of y

= -3/2

hence, slope of line is -3/2