Question

What is the equation of the line that passes through the point (-7,-4) and has a slope of 11?

Answer 1

Answer:

$y=11x+73$

Step-by-step explanation:

Hi there!

What we need to know:

• Linear equations are typically organized in slope-intercept form: $y=mx+b$ where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
• y and x stay the same but m and b are replaced with numerical values

1) Plug the slope into $y=mx+b$ (m)

$y=11x+b$

2) Plug the given point into the equation and solve for b

$y=11x+b\\-4=11(-7)+b\\-4=-77+b$

Add 77 to both sides to isolate b

$-4+77=-77+b+77\\73=b$

Plug b back into $y=11x+b$

$y=11x+73$

I hope this helps!