Answer:
1. Slope = -0.800/2.000 = -0.400
2. x-intercept = 7/4 = 1.75000
3. y-intercept = 7/10 = 0.70000
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x-8*y-(7*x+2*y-7)=0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
-4x - 10y + 7 = -1 • (4x + 10y - 7)
Equation at the end of step 1 :
Step 2 :
Equation of a Straight Line
2.1 Solve -4x-10y+7 = 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 -4x-10y+7 = 0 and calculate its propertie
Notice that when x = 0 the value of y is 7/10 so this line "cuts" the y axis at y= 0.70000
y-intercept = 7/10 = 0.70000
Calculate the X-Intercept :
When y = 0 the value of x is 7/4 Our line therefore "cuts" the x axis at x= 1.75000
x-intercept = 7/4 = 1.75000
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 0.700 and for x=2.000, the value of y is -0.100. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.100 - 0.700 = -0.800 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -0.800/2.000 = -0.400
