Problem

Find the equation of the line that passes through the points (2,3) and (4,7) using the slope-intercept form.

Answer

Expert–verified
Hide Steps
Answer

Therefore, the equation of the line that passes through the points (2,3) and (4,7) is y=2x−1.

Steps

Step 1 ：First, we calculate the slope (m) of the line using the formula m=y2−y1x2−x1. Substituting the given points, we get m=7−34−2=2.

Step 2 ：Next, we use the slope-intercept form of the line, which is y=mx+b. Substituting the slope and one of the given points (2,3) into this equation, we get 3=2∗2+b, which simplifies to 3=4+b. Solving for b gives us b=−1.

Step 3 ：Therefore, the equation of the line that passes through the points (2,3) and (4,7) is y=2x−1.

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′ if $y=\ln \… 3. (3pts) Cherry trees in a c… More