Explain the steps for writing an equation of a line that passes through (4,7) and has a slope of 1/2

The equation would be y = 1/2x + 5

Step-by-step explanation:

To find this equation, we start by using point slope form, and then plugging the slope in for m and the point in at (x1, y1).

y - y1 = m(x - x1)

y - 7 = 1/2(x - 4)

And now we solve for y.

y - 7 = 1/2(x - 4)

y - 7 = 1/2x - 2

y = 1/2x + 5

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)

eve and marks ratios are equivalent

step-by-step explanation: