Answer:

y = 6

Step-by-step explanation:

The slope-intercept form of a line is given by y = mx + b, where m is the slope and b is the y-intercept. To find the equation of a line that has a y-intercept of 6 and passes through (-3,5), we can use the point-slope form of a line, given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.

We know that the line passes through (-3,5), so we can substitute these values into the point-slope form:

y - 5 = m(x - (-3))

Next, we can solve for the slope, m:

m = (y - 5) / (x - (-3)) = (y - 5) / x + 3

Since the line passes through (-3,5), we can substitute these values in for x and y to find the slope:

m = (5 - 5) / (-3 - (-3)) = 0

So the slope is 0. Since the line has a y-intercept of 6, we can use the slope-intercept form and substitute in the values we have found:

y = mx + b

y = 0x + 6

y = 6

So the equation of the line is y = 6.

(っ◔◡◔)っ ❤ Keep on slaying, study first ❤

Answer: y=1/3x+6

Step-by-step explanation:

Because, If we graphed the y-intercpet (6), then graphed the (-3, 5) from (0, 6) to (-3, 5). It is 1 rise, and 3 run.

So, the slope would be 1/3, and we already know what the y-intercept is (6), so now we plug it in the equation (y=mx+b)

mx= slope

b= y-intercept

y=1/3x+6

Hope this helps