Answer:
Slope = 1.500/2.000 = 0.750
a-intercept = 0/3 = 0.00000
b-intercept = 0/-4 = -0.00000
Explanation:
Notice that when a = 0 the value of b is 0/-4 so this line "cuts" the b axis at b=-0.00000
b-intercept = 0/-4 = -0.00000
When b = 0 the value of a is 0/3 Our line therefore "cuts" the a axis at a= 0.00000
a-intercept = 0/3 = 0.00000
Slope is defined as the change in b divided by the change in a. We note that for a=0, the value of b is 0.000 and for a=2.000, the value of b is 1.500. So, for a change of 2.000 in a (The change in a is sometimes referred to as "RUN") we get a change of 1.500 - 0.000 = 1.500 in b. (The change in b is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = 1.500/2.000 = 0.750