Answer:
The equation in the standard form of the line through the given points is;
y = 3x - 17
Step-by-step explanation:
We start by getting the slope of the line;
m = (y2-y1)/(x2-x1)
m = (7-10)/(8-9) = -3/-1 = 3
The stands equation form is;
y = mx + b
m is slope, b is the y-intercept
so we have
y = 3x + b
To get b, we substitute the coordinates of any of the points
10 = 3(9) + b
10 = 27 + b
b = 10-27
b = -17
So the equation is;
y = 3x - 17
Answer:
y = 3x+9
Step-by-step explanation:
We can use the slope intercept form
y = mx+b
where m is the slope and b is the y intercept
y = 3x +b
Substitute the point into the equation
6 = 3(-1) +b
6 = -3+b
Add 3 to each side
6+3 = -3+3+b
9 = b
y = 3x+9
12 to 16 because all ratios are equivalent
