The equation Y-5 = 6(x+1) is written in point-slope form. What is the equation written in slope-intercept form? O y = 6x + 11
O y = 6x - 1
O y = 6x - 4
O y = 6x + 6.

Option A: y = 6x + 11

Step-by-step explanation:

Given the linear equation in point-slope form, y - 5 = 6(x + 1), and that we must determine its equivalent slope-intercept form, y = mx + b:

First, we must distribute 6 into the parenthesis on the right-hand side of the equation:

y - 5 = 6(x + 1)

y - 5 = 6x + 6

Lastly, we must add 5 to both sides of the equation to isolate y:

y - 5 + 5 = 6x + 6 + 5

y = 6x + 11

Therefore, the slope-intercept form is: y = 6x + 11, which matches Option A.

option a is correct.

step-by-step explanation:

scale factor: it is used to find proportional measurements.

proportions means having the same ratio.

scale factor is the ratio of the model measurement to the actual measurement in a simplest form.

or we can say that the ratio of any two corresponding lengths in two similar geometric figures

if the scale factor is more than 1, then it is an enlargement,

if the scale factor less than 1, then it is a reduction.

given the two geometric figure:

by definition of proportions, we have