Answer:
[tex]b=-6[/tex]
[tex]y=-\frac{3}{5} x-6[/tex]
Step-by-step explanation:
Slope-intercept formula:
[tex]y=mx+b[/tex]
With the information given, we know that the line has the coordinates (-5, -3) and that the slope ([tex]m[/tex]) is [tex]-\frac{3}{5}[/tex].
Substitute the following given information into the formula:
[tex]-3=-\frac{3}{5} (-5)+b[/tex]
Next, we have to solve for [tex]b[/tex] by first simplifying the equation then solving.
[tex]-3=3+b[/tex]
Then we have to flip the equation so that it is easier to calculate.
[tex]-3=b+3[/tex]
Finally we have to isolate the variable to find the value of [tex]b[/tex].
[tex]-3-3=b+3-3[/tex]
[tex]-6=b[/tex]
Now with the value of [tex]b[/tex] we can find the formula and graph it. (View image)
[tex]y=-\frac{3}{5}x-6[/tex]
∴The final equation is [tex]y=-\frac{3}{5}x-6[/tex].
