Question

Solve for x2:

y2 − y1 = m(x2 − x1)


this is literal equations btw

Answer 1

x2 = y2/m - y1/m + x1

Explanation:

Expand

y2 - y1 = mx2 - mx1

Rearrange

y2 - y1 + mx1 = mx2

Divide both sides by m to make x2 on its own

y2/m - y1/m + x1 (m's cancel out) = x2

Hence:

x2 = y2/m - y1/m + x1

Answer 2

• x2 = x1 + (y2 - y1)/m

Explanation:

Given equation

• y2 − y1 = m(x2 − x1)

Solving for x2

• y2 − y1 = m(x2 − x1) ⇒ divide both sides by m
• (y2 - y1)/m = x2 - x1 ⇒ add x1 to both sides
• x2 = x1 + (y2 - y1)/m

or

• x2 = x1 + y2/m - y1/m