Respuesta :
Answer:
Slope = 3.200/2.000 = 1.600
Step-by-step explanation:
Step 1 :
Equation of a Straight Line
1.1 Solve -8x+5y = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line -8x+5y = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 0/5 so this line "cuts" the y axis at y= 0.00000
y-intercept = 0/5 = 0.00000
Calculate the X-Intercept :
When y = 0 the value of x is 0/-8 Our line therefore "cuts" the x axis at x=-0.00000
x-intercept = 0/-8 = -0.00000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is -0.000 and for x=2.000, the value of y is 3.200. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 3.200 - -0.000 = 3.200 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 3.200/2.000 = 1.600
Geometric figure: Straight Line
Slope = 3.200/2.000 = 1.600
x-intercept = 0/-8 = -0.00000
y-intercept = 0/5 = 0.00000
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Answer:
slope = [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange - 8x + 5y = 0 into this form
Add 8x to both sides
5y = 8x ( divide both sides by 5 )
y = [tex]\frac{8}{5}[/tex] x + 0 ← in slope- intercept form
with slope m = [tex]\frac{8}{5}[/tex]
