Slope, -1/2, passes through (1, 3). Write an equation in slope-intercept form for the line that satisfies each set of conditions.

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kspcr111 | In Training Educator

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Given slope m= (-1/2)

and the line passes through the point (x,y)= (1,3)

the slope-intercept form of a line is

y= mx+b

from the above we know `m = (-1/2)` , so the line equation is 

`y= (-1/2)x+b` --------------(1)

we need to find the value of b , as the line passes through the point

(x,y)= (1,3 ) , then on substituting we get

`3 =(-1/2)+b`

=> `b = 3+1/2 = 3.5 = 7/2`

so the equation of the line is

`y = (-1/2)x +(7/2)`