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Question:

Find the equation of line with slope 4 and passes through the point (2, 3)

Answer:

y = 4x - 5 is the equation of line with slope 4 and passes through point (2, 3)

Solution:

Given that slope of line is 4 and passes through point (2, 3)

We have to find the equation of line

The equation of line in slope intercept form is given as:

y = mx + c ------- eqn 1

Where, "m" is the slope of line and "c" is the y intercept

Given that slope of line is 4

m = 4

Find the y intercept:

Substitute m = 4 and (x, y) = (2, 3) in eqn 1

3 = 4(2) + c

3 = 8 + c

c = -5

Substitute m = 4 and c = -5 in eqn 1

y = 4x - 5

Thus the equation of line is found

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