Answer:
Y = 10/7X + 4
Y intercept = 4
Slope = 10/7
X intercept = -40/7
Step-by-step explanation:
Incase you are asked the equation of the line
The slope intercept equation is as follows -
(1)....Y = mx + b
where m - Slope
b - Y - intercept
the standard formula of slope which is commonly referred to as "the rate of change" is -
(2) .....m= Y2 - Y1 / X2 - X1
in this case you can refer to the final and initial X and Y values directly from the small points on the line.
and so(3)..... - X1 = -6 X2 = 6
- Y2 = 9 Y1 = -1
the y intercept is defined as the value we get whenever X id zero. and X has a value of zero when a line crosses the y axis.
thus, X = 0 & Y = 4 ( 0 , 4 )
now lets substitute our values(3) into the slope formula (equation 2)
m = 9 - - 1 / 6 - - 1 = 10/7
now that we found the line's slope, let's simply plug the y intercept
into the slope intercept formula (1)
Y = 10/7X + 4
