The slope is 3/4 and the y intercept is (0 ,-2) , Option C is the correct answer.
What is a Linear Function ?
A function whose graph is a straight line is called a Linear Function.
The equation of the straight line is given by
y = mx+c
here m is the slope and c is the intercept of the y axis.
The slope for a two given point of the straight line can be calculated as
m =(y₂-y₁)/(x₂-x₁)
Therefore for the given points
m = (1-(-2))/(4-0)
m = 3/4
For intercept we will substitute the value in the straight line equation
y = (3/4)x + c
at x = 0 , y = -2
-2 = (3/4) *0 +c
c = -2
Therefore the slope is 3/4 and the y intercept is (0 ,-2)
Option C is the correct answer.
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