Question

A line passes through the points(8,2) and (10,3) What is its equation in slope intercept form

Answer 1

Answer: y =  ½x - 2

Step-by-step explanation:

Slope-intercept form: y = mx + b

• m = slope = $\frac{y_{2} -y_{1} }{x_{2} -x_{1}} =\frac{3-2}{10-8} =\frac{1}{2}$
• b = y-intercept ⇒ Substitute in a given point to the function to find b

y =  ½x + b

2 =  ½(8) + b

2 = 8/2 + b

2 = 4 + b

2 - 4 = b

b = -2

y =  ½x - 2