Question

Two points on the line are (0, 4) and (7, 18). Use the points to first determine the slope and y-intercept. Then write the equation of the line.

Answer 1

The slope is: 2
The y intercept is 4
The equation is: y = 2x + 4

Answer 2

Answer with Step-by-step explanation:

The slope of the line passing through the points (a,b) and (c,d) is given by:

m=
`(d-b)/(c-a)`

Here, (a,b)=(0,4) and (c,d)=(7,18)

Hence, slope of line=m=
`(18-4)/(7-0)`

=
`(14)/(7)`

= 2

Also, y-intercept is the point where value of x equals 0

Clearly, line passes through (0,4) means y-intercept=4

Equation of line is given by:

y=mx+c where m is the slope and c is the y-intercept

Equation of line= 2x+4

Hence, Equation of line is:

2x+4