Which shows the equation of the line containing the poin (4,6) and having a slope of 4 in slope-intercept form? a.) y = -5/2x + 4 b.) y = 4x - 10 c.) 4y = x - 28 d.) y = -4x + 10

The Equation of line is y=4x-10 i.e. option B

Step-by-step explanation:

We know that equation of line in slope intercept form  is y=mx+c

where m is the slope and c is the y-intercept

Also in one point form equation of line is y - y1 = m(x - x1)

where (x1,y1) are the coordinates of the point and m is the slope

Given Slope =4, Point (4,6)

So y-6 = 4(x-4)

Adding 6 both sides

y-6+6 = 4x-16 +6

y=4x-10

So the option B. i.e. y=4x-10 is the correct answer

a is the right answer

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