Answer: [tex]y=\frac{2}{5}x-8[/tex]
Step-by-step explanation:
By definition, the equation of the line in slope-intercept form of is:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
Then, given the slope 2/5 and the point, (-10, -5), you can calculate the value of b by susbtituting and solve for it:
[tex]-10=\frac{2}{5}(-5)+b\\ -10=-2+b\\b=-8[/tex]
Substitute this value and the slope into the equation. THerefore, you obtain:
[tex]y=\frac{2}{5}x-8[/tex]
