Answer:
1
Step-by-step explanation:
By gradient, if you mean the "slope" of the linear function, then you have to find two points of the graph and use the "rise over run strategy". Given two coordinates, (x1, y1) and (x2, y2) of a linear function in the form y=mx+b, the slope of the line is (y2-y1)/(x2-x1). This shows the amount of "rise", or the vertical change, and the amount of "run", which is the horizontal change. Rise/Run gives the steepness of the line. The slope can also be modeled by Δy/Δx, which is the change in y over the change in x
Plugging in the given points (0,5) and (-5,0):
(y2-y1)/(x2-x1)= (5-0)/(0-(-5)) = 5/5 = 1
Answer:
15
Step-by-step explanation:
20-8 = 12
12- -3 = 15
15 + -3 = 12 + 8 + 20
Answer:
The equation of this line would be y = 3x + 2
Step-by-step explanation:
In order to find this equation we must first find the slope of the original line. The original slope (the coefficient of x) is -1/3, which means the new slope will also be 3 because perpendicular lines have opposite and reciprocal slopes. Now, we can use this slope along with the point in point-slope form to find the equation of the line.
y - y1 = m(x - x1)
y - 5 = 3(x - 1)
y - 5 = 3x - 3
y = 3x + 2
Answer:

Step-by-step explanation:





hope it helps...
have a great day!!
Answer:
Wind speed = 159.6 miles per hour.
Step-by-step explanation:
The distance is the same so some sort of basic equation can be made.
Givens
From A to B
t = 4 hours
v = p + w
d = 1064
===========
From B to A
t1 = 7 hours
v = p - w
d = 1064
Equation
t * (p + w) = t1 * ( p - w)
Solution
4(p + w) = 7(p - w)
4p + 4w = 7 p - 7w
<em>Add 7w to both sides</em>.
4p + 4w + 7w = 7p
4p + 11w = 7p
<em>Subtract 4p from both sides</em>
11w = 7p - 4p
11w = 3p
<em>Divide by 3</em>
p = 11w/3
====================
4P + 4W = 1064
11w/3 + 3W = 1064
w(3.6667 + 3) = 1064
W*6.666667 = 1064
W = 1064 / 6.666667
W = 159.6 mph