Question

a line passes through the point \\((6, 1)\\) and has a slope of \\(\frac{3}{2}\\). write an equation for this line.

Explanation:

Identify given values

Using the Point-Slope Form knowledge point

$$ (x_1, y_1) = (6, 1),\quad m = \frac{3}{2} $$

Apply point-slope formula

Using the Point-Slope Form knowledge point

$$ y - y_1 = m(x - x_1) \implies y - 1 = \frac{3}{2}(x - 6) $$

Convert to slope-intercept form

Using the Slope-Intercept Form knowledge point

$$
LATEXBLOCK0
$$

Answer:

A line passes through the point \((6, 1)\) and has a slope of \(\frac{3}{2}\). Write an equation for this line.

<blank>\(y = \frac{3}{2}x - 8\)</blank>