Answer: [tex]y=\frac{5}{2}x-14[/tex]
Step-by-step explanation:
The equation of the line in slope-intercept form is:
[tex]y=mx+b[/tex]
Where m is the slope and b the intersection with the y-axis.
You know the line [tex]y=\frac{5}{2}x-10[/tex]
You can identify that:
[tex]m=\frac{5}{2}[/tex]
The slopes of Parallel lines are equal, then the slope of the other line is [tex]m=\frac{5}{2}[/tex]
Substitute the slope and the given point into [tex]y=mx+b[/tex] and solve for b:
[tex]-29=\frac{5}{2}(-6)+b\\-29=-15+b\\-29+15=b\\b=-14[/tex]
Substituting values, you get that the equation of this line is:
[tex]y=\frac{5}{2}x-14[/tex]
