What is the equation of the line that passes through the point (8,3) and has a slope
of
1/4

y = 1/4x+1

Step-by-step explanation:

Using slope intercept form

y = mx+b

where m is the slope and b is the y intercept

y =1/4 x+b

Substituting in the point

3 = 1/4(8)+b

3 = 2+b

Subtract 2 from each side

3-2 = b

1 =b

y = 1/4x+1

y=1/4x+1

Step-by-step explanation:

the equation for a line is y=mx+b

where m is the slope and b is the y-intercept. since we have our slope given and and x,y given we can use that to solve for b. we get:

3=1/4(8)+b

3=2+b

1=b

therefore the y-intercept is b

so the equation is y=1/4x+1

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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