Question

find the equation of each line from the given information. write the equation in standard Form. show your work for. The line contains the points (3.0) and (4,6)​

Answer 1

y=6x-18

Explanation:

To find the standard equation of a linear relationship given two points, you need to find the slope and y intercept.

slope is change in y divided by change in x.

(6-0)/(4-3)

(6)/(1)

The slope of the line is 6.

We can plug this in along with x and y values from a given coordinate into the standard equation format to solve for b, the y intercept.

y=mx+b

y=0

x=3

m=6

0=6(3)+b

0=18+b

b=-18

now we know that the y intercept is (0,-18). The standard equation would be y=6x-18