Question

Find the equation of the line in slope-intercept form that passes through the following point with the given slope. Simplify your answer. Point (10,11); slope= 2/3 answer what I got it 13/3; but when I enter it is says that "you answer is in incorrect forma"; is there another way to enter it?

Answer 1

y = 2/3x + 13/3

Explanation:

the equation of the line is,

y = mx + c

where m is the slope which is given, m = 2/3

x, y are the co-ordinates which also are given, Point(10, 11)

c is the constant which is unknown

let's substitute the given values in the equation to find the constant, c

11 = 2/3 (10) + c

c = 11 - 20/3

c = 33 - 20 / 3

c = 13/3

thus, the equation of the line is,

y = 2/3x + 13/3