Hi beautiful people! i need help with a question.

Write the equation in point-slope form of a line that goes through (-3,4) with slope 7.

can someone pls help me out.

3 answers

In this case:

m = 7 , x = - 3 , y = 4

Point-slope form of a line:

y = m ∙ x + b

Replace m = 7 , x = - 3 , y = 4 in this equation.

4 = 7 ∙ ( - 3 ) + b

4 = - 21 + b

Add 21 to both sides

25 = b

b = 25

y = m ∙ x + b

y = 7 x + 25
Ohhh, thank you very much that helped me.
point-slope form
the line through (h,k) with slope m is
y-k = m(x-h)
So your line is
y-4 = 7(x+3)