Question

Write an equation in slope intercept form of the line with the given characteristics:

through: (-3,1), slope = 2

please help this is due in 10 minutes!!

Answer 1

The equation of line through (-3,1) and slope 2 in slope-intercept form is: y = 2x+7

Explanation:

The slope-intercept form of an equation is given by:

`y = mx+b`

here m is the slope of the line and b is the y-intercept

Given

`m = 2`

Putting m=2 in the general form

`y = 2x+b`

In order to find the y-intercept, the given point (-3,1) will be substituted in the equation

So

`1 = 2(-3)+b\\1 = -6+b\\b = 1+6\\b = 7`

Putting the value of b

`y = 2x+7`

Hence,

The equation of line through (-3,1) and slope 2 in slope-intercept form is: y = 2x+7