Answer:
[tex]\displaystyle y=-\frac{10}{7}x+3[/tex]
Step-by-step explanation:
We want to find the equation of the line that includes the points (7, -7) and (0, 3).
First, we will find the slope of the line using the slope formula given by:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
So, the slope of our line is:
[tex]\displaystyle m=\frac{3-(-7)}{0-7}=\frac{10}{-7}=-\frac{10}{7}[/tex]
Next, notice that the given point (0, 3) is our y-intercept.
Slope-intercept form is given by:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
Therefore, by substitution, we acquire that our equation is:
[tex]\displaystyle y=-\frac{10}{7}x+3[/tex]
