Answer:
[tex]y + 1 = -\frac{2}{5}(x+5)[/tex]
and
2x + 15y = -15
Step-by-step explanation:
To write the point slope form, a point and a slope is required. Find the slope using the two points given and the slope formula.
[tex]m = \frac{y_2-y_1}{x_2-x_1}= \frac{-1 --7}{-5-10}= \frac{6}{-15} = -\frac{2}{5}[/tex]
Substitute -2/5 and the point (-5,-1) into the form. Then convert to make the standard form of the equation.
[tex]y - y_1 = m(x-x_1)\\y --1=-\frac{2}{5}(x--5)\\y + 1 = -\frac{2}{5}(x+5)[/tex]
Now convert to standard form by applying the distributive property and moving terms.
[tex]y + 1 = -\frac{2}{5}(x+5)\\y + 1 = -\frac{2}{5}x - 2\\y + 3 = -\frac{2}{5}x\\\frac{2}{5}x + y +3=0\\2x + 5y + 15 = 0\\2x + 15y = -15[/tex]
