The equation of the line passing through (1,11) and (4,5) can be expressed in the form x/a + y/b = 1 Find a
The slope of the line is (11-5)/(1-4) = -2 So the equation of the line is (y - 5) / (x - 4) = -2. y - 5 = (-2)(x - 4) y = -2x + 13 So a = -2.
Here's the full solution:
The equation of a line can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.
The slope of the line passing through (1,11) and (4,5) can be calculated using the following formula:
m = (y2 - y1)/(x2 - x1)
= (5 - 11)/(4 - 1)
= -2
The equation of the line can now be written as:
y = -2x + b
To find the value of b, we can substitute one of the points, such as (1,11), into the equation.
11 = -2(1) + b
11 = -2 + b
13 = b
The equation of the line is therefore y = -2x + 13.
The value of a is -2.
