Question

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

Answer 1

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:

$y = mx+b$

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