line through (5/2,2) and (-3/2,1) has slope (2-1)/(5/2+3/2) = 1/4

the line is y=x/4 +b solve for b by plugging in either point

1=-3/8 +b

b = 1+3/8 = 11/8

the line is y=x/4 + 11/8

or if you want to eliminate fractions

8y =2x +11

Joe D.

asked • 05/21/21A straight line passes through the points (5/2, 2) and (-3/2, 1)

what is the equation of the line and the x intercept?

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line through (5/2,2) and (-3/2,1) has slope (2-1)/(5/2+3/2) = 1/4

the line is y=x/4 +b solve for b by plugging in either point

1=-3/8 +b

b = 1+3/8 = 11/8

the line is y=x/4 + 11/8

or if you want to eliminate fractions

8y =2x +11

Billy M. answered • 05/21/21

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Need a math tutor? I am a local Darton College math tutor

When given TWO points on a line; you will need to calculate the slope, m and use the point-slope formula to find the equation of the line

To find the slope, m = rise/run, it does NOT matter which point is P_{1} and P_{2}, the slope will be the same.

m = (y_{2} - y_{1}) / (x_{2} - x_{1})

I use will P_{1} = (5/2, 2) and P_{2} = (-3/2, 1)

m = (2 - 1) / (5/2 +3/2) = 1/_{4}

Now use the point-slope formula and use just ONE of the points given and the slope:

(y - y_{1}) = m(x - x_{1})

I will use P_{1 }= (5/2, 2)

y - 2 = 1/_{4}(x - 5/2)

y - 2 = 1/_{4}(x)-5/8

Isolate the y on the LHS by +2 on both sides

**y = 1/**_{4}**(x) + 11/8 Final Answer**

Mark M. answered • 05/21/21

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Mathematics Teacher - NCLB Highly Qualified

slope is 4 / 1

(y - 1) / (x + 3/2) = 4

Convert toe slope intercept form and answer?

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