Question

Write the equation of the line in slope-intercept form that passes through the point (3, -2) and has a slope of 2

i got y = 2x + 5

Answer 1

eq of line in slope-point form is given as
y-y1=m(x-x1)
where m=slope= 2
x1= 3 and y1=-2
Thus y-y1=m(x-x1) reduces to
y-(-2)=2(x-3)
i.e. y+2=2x-6
i.e. y= 2x-6-2
i.e. y= 2x-8 which is in the slope -intercept form