Question

Learning task 1 : From the given equation of the line a) find two points that will satisfy the equation, b) the slope and the y intercepts and c) the x and y - intercepts. 1. 3x + 2y = 5 2. 3y - x = 9

Answer 1

Explanation:

The standard form equation of a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x=0). Rearrange each equation into this format.

1. 3x + 2y = 5

2y = -3x+5

y = -(3/2)x+(5/2)

a. I'll pick 2 values of x to find 2 values of y:

x y

2 -0.5

5 -5

b. The slope is -(3/2)

c. The y-intercept is (5/2)

2. 3y - x = 9

y = (1/3)x + 3

a. Pick 2 values of x to calculate y:

x y

2 3.67

5 4.67

b. The slope is (1/3)

c. The y-intercept is +3