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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!!


Sagot :

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