Question

What is the equation of the line that passes through the point (-5,-4) and has a slope of -3/5

Answer 1

The equation is y = 3/5x - 1

Explanation:

1. Construct an equation. We can use the slope-point formula to construct an equation from these (y - y₁ = slope * (x - x₁)). If you plug in these values, you'll get the equation y + 4 = -3/5(x +5).

2. Simplify. If you simplify, you'll get that y = 3/5x - 1 by isolating y.

Answer: The equation of the line is y = 3/5x - 1.

Answer 2

y= -3/5x - 7 (assuming slope-intercept form)

Explanation:

First, we see the slope. The basic template for a slope-intercept question is

y=mx + b

So, we put in -3/5 as "m" in this case, as it is the slope to get y= -3/5x +b

To find b, we can just try out the point that the equation gave us.

-3/5 * -5 = 3

Then, to get to -4 from 3, we need to subtract 7.

Then, we get our whole slope-intercept equation. y=-3/5x - 7