Question

15. Given the slope of -1/4 and a point on the line of (2,-5),
Write the equation of the line in point-slope form.
Write the equation of the line in slope-intercept form.

Answer 1

Answer:

The answer is $y=-\frac{1}{4}x-\frac{9}{2}$

Step-by-step explanation:

Starting with $y-y_{0} =m(x-x_{0})$

$m=-\frac{1}{4}$

and $(x_0,y_0)=(2,-5)$

this implies,

$y+5=-\frac{1}{4}(x-2)=-\frac{1}{4}x+\frac{1}{2}\\\\y=-\frac{1}{4}x-\frac{9}{2}$

is the equation of line in slope-intercept form.