Answer:
y=15/16x+19/8
Explanation:
Hi there!
We are given the points (6,8) and (-10, -7) and we need to find the equation of the line
There are 3 ways to write the equation of the line, but the most common format is slope-intercept form, or y=mx+b form, where m is the slope and b is the y intercept
First, we need to find the slope
The formula for the slope calculated from two points is (y2-y1)/(x2-x1), where (x1, y1) and (x2,y2) are points
Our (x1,y1), and (x2,y2) are (6,8) and (-10, -7)
we can label their values to avoid confusion:
x1=6
y1=8
x2=-10
y2=-7
substitute into the formula
m=(-7-8)/(-10-6)
m=15/16
so the slope is 15/16
here's our equation so far:
y=15/16x+b
we need to solve for b
Because the line will pass through (6,8) and (-10,-7), we can substitute either one of them into the equation to solve for b
Let's take (6,8) as an example
Substitute x as 6 and y as 8
8=15/16(6)+b
Multiply
8=45/8+b
subtract
19/8=b
therefore, the equation of the line is:
y=15/16x+19/8
Hope this helps! :)