Given the straight line (d) of equation: – 2x + y + 3 = 0.

Question

a- Write the equation of (d) in the form y = ax + b.
b- Write down the slope of (d) and give its verbal description.
c- Find y-intercept and give its verbal description.
d- Graph the straight line (d).

Answer 1

-2x + y + 3 = 0

 

(a)

 

Perform algebraic operations to place y by itself on one side of the equation and get

 

y = 2x - 3

 

a = 2 = m, b = -3

 

(b)

 

m = 2  

 

The line is rising in a left to right direction at a rate of 2 to 1

 

(c)

 

y intercept is (0,b) = (0,-3).  The line intersects the y-axis at the point (0,-3).

 

(d)  Unable to graph in this medium.