Answer here\(\text{Slope } = \frac{ y_2 - y_1 } { x_2 - x_1 } = \frac{-1 - \frac{1}{4}}{-2 - 3} = \frac{ - \frac{5}{4}}{-5}= \frac{ - \frac{5}{4}\cdot4}{-5\cdot4} =\frac{-5}{ -20} =\boxed{ \bf{ \frac{1}{4}}}\)
The slope is 1/4.
The equation in point-slope form is:
y - (-1) = 1/4(x - (-2))
\(\boxed{\bf{y + 1 = \frac{1}{4}(x+2)}}\)
In slope-intercept form, it is:
y + 1 = 1/4(x+2)
\(\boxed{\bf{y = \frac{1}{4}x - \frac{1}{2}}}\)
In Standard form it is:
y = 1/4x - 1/2
1/2 = 1/4x - y
Multiply both sides by 4
2 = x - 4y
\(\boxed{\bf{x-4y=2}}\)
I hope that helps. :)
