Question

The line that passes through (1,5) and (4,-4). (Hint: Find the slope first.)

Answer 1

The slope of a line is given by the equation
`y_(2) - y_(1) / x_(2) - x_(1)`

y2 is -4. y1 is 5
x2 is 4. x1 is 1

-4 -5 / 4-1 = -9/3 = -3
The slope is -3. Now we need to find the y-intercept

y= mx +b
5= -3(1) +b
5= -3 +b
b= 8
Our equation for the line: y= -3x +8