question\nwhat is the equation of the line that passes through the point (1, 4) and has a slope of 5?

Answer:

( y = 5x - 1 )

Explanation:

Step1: Recall the point - slope form

The point - slope form of a linear equation is given by ( y - y_1=m(x - x_1) ), where ( (x_1,y_1) ) is a point on the line and ( m ) is the slope of the line.

Step2: Substitute the given values

We are given that the point ( (x_1,y_1)=(1,4) ) and the slope ( m = 5 ). Substituting these values into the point - slope form, we get: ( y - 4=5(x - 1) )

Step3: Simplify the equation

First, distribute the 5 on the right - hand side: ( y - 4 = 5x-5 ). Then, add 4 to both sides of the equation to solve for ( y ): ( y=5x - 5 + 4 ) ( y = 5x-1 )