Use the following information to find y: m= -3 (5,2) and (6,y)
Now write the point slope form of the equation using the completed point:
Please help!! Thank you!!
since m = -3, y changes by -3 for every +1 change in x.
Since x changed from 5 to 6 (+1), y changed from 2 to (2-3) = -1.
Now use either point:
y = -3x + 17
So what would y equal
You're going to have hard going in math if you cannot even read. I said, y changes to -1.
To find the value of y, we can use the slope-intercept form of a linear equation, which is given by y = mx + b, where m is the slope and b is the y-intercept.
Here, we are given that the slope (m) is -3 and we have two points, (5,2) and (6,y). We can use the slope formula to calculate the value of y.
The slope formula is:
m = (y2 - y1) / (x2 - x1)
We can substitute the values into the formula using the given points:
-3 = (y - 2) / (6 - 5)
Now we can solve for y. Multiply both sides of the equation by (6 - 5) to isolate y:
-3 * (6 - 5) = y - 2
-3 = y - 2
To isolate y, add 2 to both sides of the equation:
-3 + 2 = y
y = -1
Therefore, the value of y is -1.
To write the point-slope form of the equation, we can use the given point (5,2) and the slope (-3). The point-slope form of the equation is:
y - y1 = m(x - x1)
Substituting the values:
y - 2 = -3(x - 5)
Simplifying, we get:
y - 2 = -3x + 15
This is the equation in point-slope form using the completed point.