Identify the slope and the y-intercept of the following line! y=-3+x
2 answers:
Answer:
1.000
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(-3+x)=0
STEP1:
Equation of a Straight Line
1.1 Solve y-x+3 = 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 a 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 y-x+3 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is -3/1 so this line "cuts" the y axis at y=-3.00000
y-intercept = -3/1 = -3.00000
Calculate the X-Intercept :
When y = 0 the value of x is 3/1 Our line therefore "cuts" the x-axis at x= 3.00000
x-intercept = 3/1 = 3.00000
Calculate the Slope :
The 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 -3.000 and for x=2.000, the value of y is -1.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -1.000 - (-3.000) = 2.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 2.000/2.000 = 1.000
Geometric figure: Straight Line
Slope = 2.000/2.000 = 1.000
x-intercept = 3/1 = 3.00000
y-intercept = -3/1 = -3.00000
Hope this helps!
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