Explanation:
first of all, you need to write down the coordinates of the 3 points. just look at how many units in x- and y-direction the points are located.
V = (-7, 5)
W = (0, 4)
X = (-1, -3)
the slope of a line is the ratio
y coordinate difference / x coordinate difference
when going from one point on the line to another.
so, for VW :
x changes by +7 (from -7 to 0).
y changes by -1 (from 5 to 4).
the slope is -1/+7 = -1/7
for WX :
x changes by -1 (from 0 to -1).
y changes by -7 (from 4 to -3).
the slope is -7/-1 = 7/1 = 7
for XV :
x changes by -6 (from -1 to -7).
y changes by +8 (from -3 to 5).
the slope is +8/-6 = -8/6 = -4/3
the length of a line between 2 points (distance) is given by the Pythagoras rule, where the distance is the Hypotenuse, and the x- and y-coordinate differences are the 2 legs.
for VW :
distance² = (-7 - 0)² + (5 - 4)² = 49 + 1 = 50
distance = sqrt(50) = 7.071067812...
for WX :
distance² = (0 - -1)² + (4 - -3)² = 1 + 49 = 50
distance = sqrt(50) = 7.071067812...
for XV :
distance² = (-1 - -7)² + (-3 - 5)² = 36 + 64 = 100
distance = sqrt(100) = 10
you did not tell us the options to describe the triangle, but it is isoceles (both legs have the same length) and right-angled (VW and WX stand at 90° to each other) as indicated by the slopes of VW and WX (perpendicular slopes are upside-down and the sign is flipped), and by the Pythagoras criteria :
Hypotenuse² = leg1² + leg2²
10² = sqrt(50)² + sqrt(50)² = 50 + 50 = 100