Equation is y = 15/17 x - 42/17
Step-by-step explanation:
Find slope of the line. m = (y2 - y1)/(x2 - x1) Here, x1 = 13, x2 = 30, y1 = 9, y2 = 26
⇒ m = (26 - 9)/(30 - 13) = 15/17
Form the equation with slope m=15/17
⇒ y = 15/17 x + b ------ (1)
Find the y-intercept, b. Substitute the values of x = 13 and y = 9 in the eq(1) to find b.
⇒ 9 = 15/17 × 13 + b = 195/17 + b
⇒ b = 9 - 195/17 = 153 - 195/17 = -42/17
Substitute the values of m and b to form the equation
⇒ y = 15/17 x - 42/17
