Find the Equation Using Two Points (0,3) , (4,0)

Problem

(0,3),(4,0)

Solution

1. Identify the coordinates of the two given points as ((x_1),(y_1))=(0,3) and ((x_2),(y_2))=(4,0)

2. Calculate the slope m using the formula m=((y_2)−(y_1))/((x_2)−(x_1))

m=(0−3)/(4−0)

m=−3/4

3. Identify the y-intercept b by observing the point (0,3) which indicates that when x=0 y=3

b=3

4. Substitute the slope m and the y-intercept b into the slope-intercept form equation y=m*x+b

y=−3/4*x+3

Final Answer

y=−3/4*x+3

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