Question

Find the missing value using the given slope. (4, y) and (0, 5); m = 3/4

a) 6
b) 7
c) 8
d) 9

Answer 1

To find the missing Y-coordinate (y) given the slope (3/4) and a point (0, 5), we use the slope formula and solve for y to get the answer, which is 8.

Step-by-step explanation:

To find the missing Y-coordinate using the given slope, we can use the slope formula: m = (y2 - y1) / (x2 - x1). The points provided are (4, y) and (0, 5), and the slope m is given as 3/4.

Plugging the given values into the slope formula gives us:

3/4 = (y - 5) / (4 - 0)
3/4 = (y - 5) / 4

Now, we cross-multiply:
3 = 4(y - 5) / 4
3 = y - 5

Finally, adding 5 to both sides to solve for y:
y = 3 + 5
y = 8

Hence, the missing value for y is 8, which corresponds to the answer choice (c).