Question

Determine the slope-intercept equation of a line with a slope of 3/2 that passes through (2, -1).

Answer 1

Answer:

$\orange{ \bold{y = \frac{3}{2}x -4 }}$

Step-by-step explanation:

Slope of line (m) = $\frac{3}{2}$

Line passes through the points $(2,\:-1)=(x_1, \:y_1)$

Equation of line in point slope form is given as:

$y-y_1 =m(x-x_1)$

Plug the values of m, $x_1\: \&\: y_1$ in the above equation, we find:

$y - ( - 1) = \frac{3}{2} (x - 2) \\ \\ y + 1 = \frac{3}{2}x - \frac{3}{2} \times 2 \\ \\ y + 1 = \frac{3}{2}x -3 \\ \\ y = \frac{3}{2}x -3 - 1 \\ \\ \purple{ \bold{y = \frac{3}{2}x -4 }}$

This is the required equation of line in slope-intercept form.