Question

Use the slope-intercept form to graph the equation y = 6x + 3.

Answer 1

Step-by-step explanation

the slope-intercept form of a line is given by

`\begin{gathered} y=mx+b \\ where\text{ m is the slope } \\ b\text{ is the y -intercept} \end{gathered}`

so

Step 1

given

`y=6x+3`

a)let

`y=mx+b\rightarrow y=6x+3`

hence

slope=m=6

y-intercept =3

b)graph the y-intercept

the y intercept has the coordinate ( 0,b)

(0,3) in our case, so we have a point from the line

b) now, slope is thhe ratio of the vertical to the horizontal distance between

so,

`slope=\text{ }(rise)/(run)=6`

so, for 1 unit in the x axis , it moves 6 units in the y-axis

so the second point is (1,9), the graph would be

finally, draw the line

I hope this helps you