Write the point-slope equation of the line through (-2, 1) with a slope of 3.

A.y - 1 = 3(x + 2)
B.y - 2 = 3(x + 1)
C.y + 2 = 3(x - 1)

Question

Write the point-slope equation of the line through (-2, 1) with a slope of 3.
 
A.y - 1 = 3(x + 2)
B.y - 2 = 3(x + 1)
C.y + 2 = 3(x - 1)

anonymous · Answer

plug in the value of slope in y=mx+c where m is slope and c is to be found by plugging value of x and y that is (-2,1)

anonymous · Answer

point slope is 
$$y-y_1=m(x-x_1)$$ in your example $x_1=-2,y_1=1, m=3$

anonymous · Answer

ok so...  y-1=3(x+2)

anonymous · Answer

yes simplify it to get your answer

anonymous · Answer

no no, do not "simplify" anything
make a direct substitution

anonymous · Answer

wait what? Isn't the answer A?

anonymous · Answer

yes A is the answer

anonymous · Answer

$$\large y-\color {red}{y_1}=\color{blue}m(x-\color{green}x_1)$$

anonymous · Answer

Ok. Thank you guys for your help!