The distance of the points is 25
Step-by-step explanation:
The distance between two points (x1, y1) and (x2, y2) is,

Here the distance of (4, 10) and (-3, -14) is
= 
= 
=
=25
The slope for that is again, change in y over change in x.
(6-4)/(4-3) = 2/1
The slope would be 2
This expression can't be simplified any further be as there is no common factor for the numerator and the denominator.
The image relating to the question can be found in the picture attached below.
Answer:
y - intercept = 0
Slope of line = 2.86
Step-by-step explanation:
THE y-intercept is the point on the y - axis where the line crosses the y - axis. The y-intercept of the graph is 0.
The slope of the line is the ratio of change in the y-axis to the x - axis.
Gradient / slope = Δy / Δx = (y2 - y1) / (x2 - x1)
Drawing a right angle triangle at any point on to meet the line of best fit :
y2 = 35, y1 = 15, x2 = 12, x1 = 5
Slope = (y2 - y1) / (x2 - x1) = (35 - 15) / (12 - 5)
Slope = 20 / 7 = 2.857
Slope = 2.86
X + 5x - 13 = 140
6x - 13 = 140
6x = 153
x = 25.5
5(25.5) -13 = 114.5
CHECK: 25.5 + 114.5 = 140