Question

Equation of the line passing through (7,5) and (1, 2)​

Answer 1

Answer:

$y = \frac{1}{2}x + \frac{3}{2}$

Step-by-step explanation:

Assuming this is a linear equation in the form of $y = mx + b$, we can first solve for the slope using $\frac{y_2 - y_1}{x_2 - x_1}$, for these points, the slope would be $\frac{1}{2}$. Now we plug in the points to get the equation:

plugging in (7,5), we get $5 = \frac{1}{2}$ ×$7$ + $b$

and solving for b, we get b = $\frac{3}{2}$

therefore, the equation of the line passing through (7,5) and (1,2) is $y = \frac{1}{2}x + \frac{3}{2}$.

hope this helps!