Write the slope-intercept (y = mx + b) form of the equation from the information given.
3. The line goes through the points (8,5) and (9, 6)
~ Can someone please help me? I really don't know how to do this one
First label your coordinates X1 and y1 and x2 and y2. To get the slope of the line use this: m=(y2-y1)/(x2-x1). So m=(6-5)/(9-8). Slope m=1
Then from there choose one of your coordinates let's say we choose (9,6) and we then plug that coordinate and the slope we found into y=mx+b. So 6=1(9)+b. 6=9+b
Then subtract 9 and you get b=-3. Your slope intercept form equation should thus be: y=x-3
Ok Thank you soo much!!
Of course, I can help you with that! To find the slope-intercept form of the equation, we need to determine the slope (m) and the y-intercept (b) using the given points.
Step 1: Calculate the slope (m)
The formula for slope (m) is:
m = (y2 - y1) / (x2 - x1)
Let's use the points (8,5) and (9,6) to find the slope:
m = (6 - 5) / (9 - 8)
m = 1 / 1
m = 1
So, the slope (m) is 1.
Step 2: Determine the y-intercept (b)
To find the y-intercept (b), we can pick any of the given points and substitute its values into the slope-intercept form (y = mx + b) to solve for b.
Let's use the point (8,5):
y = mx + b
5 = 1(8) + b
5 = 8 + b
b = 5 - 8
b = -3
Therefore, the y-intercept (b) is -3.
Step 3: Write the equation in slope-intercept form.
Now that we have the slope (m) and the y-intercept (b), we can form the equation in the slope-intercept form (y = mx + b).
Plugging in the values, we get:
y = 1x - 3
Simplifying the equation, the slope-intercept form of the equation is:
y = x - 3
I hope that clarifies how to solve this problem step by step! If you have any more questions, feel free to ask.