Question

Write the equation of the line which passes
through the points (4,2) and (-3, 1)

Answer 1

y = 1/3x + 4/7

Explanation:

Slope Formula:
`m=(y_2-y_1)/(x_2-x_1)`

Slope-Intercept Formula: y = mx + b

Step 1: Find slope m

m = (1 - 2)/(-3 - 4)

m = -1/-7

m = 1/7

y = 1/7x + b

Step 2: Find y-intercept b

1 = 1/7(3) + b

1 = 3/7 + b

b = 4/7

Step 3: Write linear equation

y = 1/3x + 4/7