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

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

  the correct choice is marked

step-by-step explanation:

the first two graphs show multiple turning points. the last graphs matches the description in every detail.

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)