Answer:
y = -5x + 29
Step-by-step explanation:
Slope-Intercept Form of the Line
Given a line of slope m and y-intercept b, the equation of the line can be written as:
y = mx + b
The slope can be calculated by using the formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x1,y1) and (x2,y2) are the points through which the line passes.
We are given the points (5,4) and (6,-1), thus:
[tex]\displaystyle m=\frac{-1-4}{6-5}=\frac{-5}{1}=-5[/tex]
Now we use one of the points to find the value of b, for example (5,4):
4 = -5(5) + b
b = 25+4 = 29
Thus, the equation of the line is:
y = -5x + 29
