Determine the equation of the line with the given slope that passes through the given point:
12. $(4,9) ;$ slope $=5$

Answer

Expert–verified

Hide Steps

Answer

$\boxed{y = 5x - 11}$

Steps

Step 1 ：Given a point (4,9) and a slope of 5, we want to find the equation of the line in the form y = mx + b.

Step 2 ：Substitute the given point into the equation: 9 = 5*4 + b.

Step 3 ：Solve the equation for b: b = 9 - 5*4 = -11.

Step 4 ：Substitute m = 5 and b = -11 into the equation y = mx + b to get the final equation of the line.

Step 5 ：$\boxed{y = 5x - 11}$