Find the value of y so that the line passing through the two point has the given slope.
(2,y) (4,5) m=5 (m=slope)
how do you do this?
(5-y) / (4-2) = 5
solve for y
I know that I'm suppose to find the y, but I don't know how.
(5-y) / 2 = 5
multiply both sides by 2
5 - y = 10
subtract 5 from both sides
-y = 5
multiply both sides by -1
y = -5
To find the value of y so that the line passing through the two points (2, y) and (4, 5) has a slope of 5, we can use the slope formula:
slope = (y2 - y1) / (x2 - x1)
Let's substitute the coordinates (2, y) and (4, 5) into the slope formula:
5 = (5 - y) / (4 - 2)
Next, we cross-multiply:
5 * (4 - 2) = 5 - y
10 = 5 - y
To solve for y, we isolate y by subtracting 5 from both sides of the equation:
10 - 5 = -y
5 = -y
Finally, we can solve for y by multiplying both sides of the equation by -1:
-5 = y
Therefore, the value of y so that the line passing through the points (2, y) and (4, 5) has a slope of 5 is y = -5.