Question

The points (1, 5) and (0, –2) fall on a particular line. What is its equation in slope-intercept form?

Answer 1

The equation of the line in slope intercept form is y = 7x - 2

How to find the equation of a line?

The equation of the line can be solved with the following equation.

y = mx + b

where

• m = slope
• b = y-intercept

Therefore,

m = -2  - 5 / 0 - 1 = -7 / -1

m = 7

Hence, using (1, 5)

y = 7x + b

5 = 7(1) + b

5 - 7 = b

b = -2

Therefore,

y = 7x - 2

Hence, the equation of the line in slope intercept form is y = 7x - 2

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