Question

Write the slope intercept form of the equation of the line described

Answer 1

Hello!

Slope intercept form is y = mx + b, where m is the slope and b is the y intercept.

Now, we first can find the slope. We know the line is parallel to y = 2/5x - 2, and parallel lines always have the same slope. Therefore, we now know that the slope (or m) is 2/5. Substitute that in the equation.

y = 2/5x + b

Finally, we are given a point. We can substitute (-5, -3) into the equation, and then solve for b.

x = -5, y = -3

-3 = 2/5 (-5) + b

-3 = -2 + b

-1 = b

Now, we know what b is. Substitute this into the equation.

Therefore, y = 2/5x - 1 is our final equation.

Hope this helps!