Answer:
[tex]y-5=\frac{3}{4}(x-6)[/tex]
Step-by-step explanation:
we know that
The equation of a line in point slope form is equal to
[tex]y-y1=m(x-x1)[/tex]
step 1
Find the slope m
we have the points
A(-2,-1),B(6,5)
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the values
[tex]m=\frac{5+1}{6+2}[/tex]
[tex]m=\frac{6}{8}[/tex]
simplify
[tex]m=\frac{3}{4}[/tex]
step 2
Find the equation of the line
we have
[tex](x1,y1)=(6,5)[/tex]
[tex]m=\frac{3}{4}[/tex]
substitute
[tex]y-y1=m(x-x1)[/tex]
[tex]y-5=\frac{3}{4}(x-6)[/tex]
