Question

Find an equation for the line graphed below:

Answer 1

Answer: y = -1/5x -3

Step-by-step explanation:

Answer 2

Answer:

Answer given by bryc31 is correct: $y = -\frac{1}{5}x -3$ is correct

I am simply providing an explanation in case you need it

Step-by-step explanation:

The slope-intercept form equation of a straight line in 2D coordinates is given by y = mx + b

where m is the slope(rise/run) and b the y-intercept i.e. the y value where the line intersects the y axis

Given two points (x₁, y₁) and (x₂, y₂)  on the straight line, we can compute the slope as follows

m = $\frac{y_2 - y_1}{x_2-x_1}$

Two distinct points on the line are at (0, -3) and (5,-4)

$m = \frac{-4 -(-3)}{5-0} = \frac{-4 + 3)}{5-0} = \frac{-1}{5} = - \frac{1}{5}$

So we know the equation to be

$y = - \frac{1}{5}x + b$

To find b, take any point on the straight line, plug in y and x values in the above equation and solve for b

However, looking at the graph we see that the line crosses the y axis at

y = -3. So this is the value for the y intercept i.e. b

The equation of the line is therefore

$y = - \frac{1}{5}x - 3$