Question

Which is an equation of the line that passes
through the point (1,4) and has a slope of 3?

Answer 1

Answer:

y = 3x + 1

Step-by-step explanation:

We are asked to find the equation of a line

Step1: find the slope

We are provided with the slope already in the question

Slope m = 3

Step 2: substitute slope into intercept form equation

y = mx + c

m = 3

y = 3x + c

Step 3: substitute the point into the equation

( 1 , 4)

x - 1

y - 4

y = 3x + c

4 = 3(1) + c

4 = 3 + c

c = 4 - 3

c = 1

Step 4: substitute c = 1 into the equation

y = mx + c

y = 3x + 1

The equation of the line is

y = 3x + 1