A line passes through the point ( 10,3 ) and has a slope of 1/2. write an equation in slope-intercept form for this line.

y = (1/2)x - 2

Step-by-step explanation:

Use the point-slope formula to solve for the new equation - (y - y1) = m(x - x1)

(y - 3) = (1/2)(x - 10) distribute the 1/2 to the x and the -10

y - 3 = 1/2x - 5 add 3 to both sides

y = (1/2)x - 2 this is in point-slope form

y = 1/2x - 2

Step-by-step explanation:

Step 1:

y = mx + b      Slope Intercept Form

Step 2:

y = 1/2x + b          Equation

Step 3:

3 = 1/2 ( 10 ) + b         Input x and y

Step 4:

3 = 5 + b         Multiply

Step 5:

3 - 5 = b      Subtract 5 on both sides

Step 6:

b = - 2

y = 1/2x - 2

Hope This Helps :)

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