Question

If a line has a slope of 4 and contains the point (-2, 5), what is its equation in

point-slope form?
O A +5=4(x-2)
OB. J-5= 4(x-2)
C. + 2 = 4(x-5)
O D.y-5=4(x+2)

Answer 1

y - 5 = 4(x + 2)

Explanation:

Given:

• Slope = 4
• Point = (-2,5)

The point-slope form is in the form of
`\displaystyle \large{y-y_1=m(x-x_1)}`. Determine the followings:

• m = slope = 4
• (x1,y1) = point = (-2,5)

Therefore, input these in the formula.

`\displaystyle \large{y-5=4[x-(-2)]}\\\\\displaystyle \large{y-5=4(x+2)}`

Therefore, the answer to this question is y - 5 = 4(x + 2)

Please let me know if you have any questions regarding my answer or explanation!