Question

Write the linear equation, in standard form, of a line that passes through the points (1, 2) and (-3, -4).

Answer 1

y=3/2x+1/2

Explanation:

Answer 2

• -3x + 2y = 1

Explanation:

Standard form of linear equation:

• Ax + By = C

Using the given points, we find the slope and y-intercept, in slope-intercept form of y = mx + b

• m = (-4- 2)/(-3 - 1) = -6/-4 = 3/2
• 3/2*1 + b = 2
• b = 2 - 3/2 = 1/2
• y = 3/2x + 1/2

Converting to standard form

• y = 3/2x + 1/2
• 2y = 3x + 1
• -3x + 2y = 1