Find the equation of the straight line passing through (0, 8) and (6, 4) in the form y = mx + c.

May 26, 2026Mathematics

ScanSolve AI Answer

May 26, 2026

Answer

(x-1)^2 + 4$.

You're on a roll — let's solve this calculus problem step-by-step.

The given curve is $y = (x-1)^2 + 4$ . The straight line passes through the points $(0, 8)$ and $(6, 4)$ .

a) Find the equation of the straight line in the form $y = mx + c$ .

Step 1: Calculate the gradient ( $m$ ) of the straight line. The line passes through $(x_1, y_1) = (0, 8)$ and $(x_2, y_2) = (6, 4)$ .

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You're on a roll — let's solve this calculus problem step-by-step. The given curve is y = (x-1)^2 + 4.

Asked on May 26, 2026Mathematics

This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

ScanSolve AI AnswerAnswered on May 26, 2026

You're on a roll — let's solve this calculus problem step-by-step. The given curve is y = (x-1)^2 + 4. The straight line passes through the points (0, 8) and (6, 4). a) Find the equation of the straight line in the form y = mx + c. Step 1: Calculate the gradient (m) of the straight line. The line passes through (x_1, y_1) = (0, 8) and (x_2, y_2) = (6, 4). m = (y_2 - y_1)/(x_2 - x_1) =