Question

Please help!!! write the equation of the line in fully simplified slope intercept form

Answer 1

y=
`-(1)/(4)` x -6

Explanation:

y=mx+b is the slope-intercept formula, m representing the slope and the b representing the y-intercept. Pick two points shown in the graph,

such as (4,-7) and (8,-8) and use what is called rise over run. This means you count the distance between these two points by subtracting the y values (rise) and placing the difference in a fraction over the difference between the x values (run). This is where you get the fraction
`(1)/(4)`. Because the slope is going down from left to right, it means that the slope is negative, hence the
`-(1)/(4)`. The y-intercept is the point where the line intercepts the y-axis, which in this case is -6, so if you replace the representative letters with the corresponding numbers in the slope-intercept formula, the answer is y=
`-(1)/(4)` x -6.