Problem

Write the equation of the line which passes through $(4,2)$ and $(12,3)$. Write the answer in slope-intercept form.

Answer

Expert–verified
Hide Steps
Answer

\(\boxed{y = 0.125x + 1.5}\)

Steps

Step 1 ：Find the slope using the formula: \(slope = \frac{y2 - y1}{x2 - x1}\)

Step 2 ：\(slope = \frac{3 - 2}{12 - 4} = \frac{1}{8} = 0.125\)

Step 3 ：Use the point-slope form of the equation: \(y - y1 = slope * (x - x1)\)

Step 4 ：\(y - 2 = 0.125 * (x - 4)\)

Step 5 ：Solve for y to get the equation in slope-intercept form: \(y = 0.125x + 1.5\)

Step 6 ：\(\boxed{y = 0.125x + 1.5}\)

link_gpt

Popular Problems

Compute $\int_{0}^{\ln (2) / … Solve the triangle. \[ \mathr… QUESTION 2 - 1 POINT Solve th… 5. Suppose you are a computer… Answer the statistical measur… $(-\infty, 2) \cap(-6, \infty… A firm does not pay a dividen… Math 112 Section: 4. Tubercul… Find $y^{\prime}$ if $y=\ln \… 3. (3pts) Cherry trees in a c… More