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Find the equation in slope-intercept form of the line parallel to y = 4x + 23 and passes through the point (2,3).

Sagot :

Answer: y=4x-5

Step-by-step explanation:

The slope of y=4x+23 is:4 m=4  

The parallel line needs to have the same slope of 4

Solve it using the "point-slope" equation of a line:   y− y1 = 2(x − x1)

substitute or put in the point (2,3):

y − (3) = 4(x − 2)

y - 3 = 4x - 8      

 put it in slope intercept form y = mx + b  

y  = 4x − 5