Question

Find the equation of this line

Answer 1

y = -(3/5)x - 1

Step-by-step explanation:

The equation of a line has the form:

y = mx + b

Where m is the slope and b is the y-intercept.

The slope m can be calculated as:

`m=(y_2-y_1)/(x_2-x_1)`

Where (x₁, y₁) and (x₂, y₂) are two points in the line.

So, if we replace (x₁, y₁) by (0, -1) and (x₂, y₂) by (5, -4), we get that the slope is equal to:

`m=(-4-(-1))/(5-0)=(-4+1)/(5)=(-3)/(5)`

On the other hand, the y-intercept is the point when the line crosses the y-axis. In this case, the line crosses the y-axis at y = -1, so the y-intercept is -1.

Therefore, the equation of the line is:

y = -(3/5)x - 1