Answer:
The equation of line through (-3,1) and slope 2 in slope-intercept form is: y = 2x+7
Step-by-step explanation:
The slope-intercept form of an equation is given by:
[tex]y = mx+b[/tex]
here m is the slope of the line and b is the y-intercept
Given
[tex]m = 2[/tex]
Putting m=2 in the general form
[tex]y = 2x+b[/tex]
In order to find the y-intercept, the given point (-3,1) will be substituted in the equation
So
[tex]1 = 2(-3)+b\\1 = -6+b\\b = 1+6\\b = 7[/tex]
Putting the value of b
[tex]y = 2x+7[/tex]
Hence,
The equation of line through (-3,1) and slope 2 in slope-intercept form is: y = 2x+7
