4y=3x-2 , find out slope. & intercept on
y-axis, also draw graph
Answers
1.1 Pull out like factors :
-4y - 3x - 2 = -1 • (4y + 3x + 2)
Equation at the end of step 1 :
Step 2 :
Equation of a Straight Line
2.1 Solve -4y-3x-2 = 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 -4y-3x-2 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 1/-2 so this line "cuts" the y axis at y=-0.50000
y-intercept = 2/-4 = 1/-2 = -0.50000
Calculate the X-Intercept :