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

Answer with Step-by-step explanation:

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

m=$\dfrac{d-b}{c-a}$

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

Hence, slope of line=m=$\dfrac{18-4}{7-0}$

                                      =$\dfrac{14}{7}$

                                      = 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

Answer 2

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