Question

What is the equation of this line in slope-intercept form?

y = 3x - 1
y = -3x -1
y = -⅓x -1
y = 3x + 1​

Answer 1

y = -3x - 1

Explanation:

To find the slope, use the slope formula:
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

Plugging in the given values, we have:
`(-4-2)/(1-(-1))`

`(-4-2)/(1-(-1))`

=
`(-6)/(2)`

= -3

Now that we know that the slope is -3, we need to find the y-intercept. Anazlyzing the graph, we can see that the line passes through the point (0, -1) on the y-axis, therefore, that is our y-intercept.

Combining the information, the result is: y = -3x - 1

hope this helps!