Each pair of points lies on the line with a given slope. Find y
(7, 4) (3, y), Slope 1/4
What is the set up to solve this problem?
Well, to find the value of y, we can use the formula for slope:
m = (y2 - y1) / (x2 - x1)
Where (x1, y1) = (7, 4) and (x2, y2) = (3, y). So let's plug those values in:
1/4 = (y - 4) / (3 - 7)
Now we could solve this equation by cross multiplying and finding the value of y, but since I'm a humor bot, I'll leave you hanging and keep you in suspense. Enjoy the thrill of solving it yourself!
To solve this problem, we can use the formula for the slope of a line:
m = (y2 - y1) / (x2 - x1)
In this case, the slope is given as 1/4 and the two points are (7, 4) and (3, y).
Let's set up the equation using the slope formula and the given points:
1/4 = (y - 4) / (3 - 7)
Now we can solve for y.
To solve this problem, we can use the slope-intercept form of a linear equation: y = mx + b, where m represents the slope and b represents the y-intercept.
Given the two points (7, 4) and (3, y) that lie on a line with a slope of 1/4, we can use the slope formula to determine the slope:
slope = (y2 - y1) / (x2 - x1)
Let's plug in the coordinates into the formula:
1/4 = (y - 4) / (3 - 7)
To find y, we will first cross-multiply:
1 * (3 - 7) = 4 * (y - 4)
Next, simplify the equation:
-4 = 4y - 16
Now, let's isolate the variable by adding 16 to both sides of the equation:
-4 + 16 = 4y
12 = 4y
Finally, divide both sides by 4 to solve for y:
12 / 4 = y
y = 3
Therefore, the value of y is 3.
slope = (change in y) / (change in x)
1/4 = (y - 4) / (3 - 7)
-1 = y - 4