Answer:
y=[tex]\frac{-3}{5}x-6[/tex]
Step-by-step explanation:
Hi there!
We are given the point (-5, -3), and a slope of -3/5
We want to write the equation of the line in slope-intercept form.
Slope-intercept form is given as y=mx+b, where m is the slope, and b is the y intercept
As we are already given the slope, we can immediately plug it into the equation
y=[tex]\frac{-3}{5}x[/tex]+b
We need to find b, though
We can use (-5, -3) to help us, as the equation will pass through that line
Substitute the value of x as -5 and the value of y as -3 to solve for b
-3=[tex]\frac{-3}{5}*-5+b[/tex]
Now, on the right, multiply -3/5 and 5 together
-3=3+b
Subtract 3 from both sides
-6=b
Substitute 6 as b in the equation
y=[tex]\frac{-3}{5}x[/tex]-6
Hope this helps!
