Question

What is the equation of the line graphed below?

Answer 1

y = 3x - 2

Explanation:

(1,1) and (2,4)

Slope = (4 - 1)/(2-1) = 3, y- intercept b = -2

Equation

y = 3x - 2

Answer 2

Y = 3x - 2 will be the answer.

Explanation:

A line has been graphed in the figure attached.

It passes through two points ( 1,1) and (2,4)

Y-intercept of the given line is (-2)

Since equation of a line in the intercept form is

y = mx + c

where m = slope and c = y-intercept

and slope m =
`(y-y')/(x-x')`

Therefore, slope m =
`(4-1)/(2-1)`

=
`(3)/(1)`

Therefore, equation of the given line will be y = 3x - 2