The line with equation y=hx+k passes through the point (−6,4) and is parallel to the line with equation y=1/2x+4. What is the value of k

Answer 1

For any line y = hx + k, where h is the slope and k is the y-intercept.

We are told that the line is parallel to y = 1/2x + 4, therefore it has the same slope. So the slope h is 1/2 for both lines.

Now we can use the slope 1/2 and the point (-6, 4) to find the equation of our line.

At point (-6, 4), -6 = x and 4 = x.

We just have to fill in the values for y = hx + k

at the point ( -6, 4)

4 = 1/2 (-6) + k

4 = -3 + k

4 + 3 = k

k = 7

So our line formula is y = (1/2)x + 7

Yeaayyy !!

Answer 2

In the line y = hx + k, h is the slope and k is the y-intercept.

We know the line is parallel to y = 1/2x + 4, which means it has the same slope. So the slope (h) of our line is 1/2.

Now we can use the slope 1/2 and the point (-6, 4) to find the equation of our line. Remember that in the point (-6, 4), -6 is the x-coordinate and 4 is the y-coorrdinate.

y - 4 = 1/2(x - (-6))

y - 4 = 1/2(x + 6)

y - 4 = 1/2x + 3

y = 1/2x + 7

So k = 7.