Answer:
y = (-1/3)x + 2
Step-by-step explanation:
Equation of line in slope-intercept form is given by
y = mx +c
where m is the slope of line
c is y intercept
Slope of line having points (x1, y1) and (x2,y2) is given by (y2-y1)/(x2-x1)
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let the equation of required line be y = mx +c
Since points given are (3,1) and (-6,4)
Then, its slope is
m = 4-1/-6-3 = 3/-9 = -1/3
Thus, slope of line is m = -1/3
lets use m = -1/3 in place of m in equation y = mx +c
y = (-1/3)x + c
Since points (3,1) and (-6,4) lie on y = (-1/3)x + c , it should satisfy the this equation.
hence lets plug 3 in place of x and 1 in place of y
1 = (-1/3)3 + c
=> 1 = -1 + c
=> c = 1 +1 = 2
Thus, intercept is 2.
Thus, Equation of line in slope-intercept form is y = (-1/3)x + 2.
