MATH SOLVE

4 months ago

Q:
# 14.Write an equation of the line that passes through (2, 7)(2, 7) and (0, −5)15.Write an equation of the line that passes through (−6, 0)(−6, 0) and (0, −24)(0, −24).

Accepted Solution

A:

Answer:14. y = 6x - 515. y = -4x - 24Step-by-step explanation:The slope-intercept form of an equation of a line:[tex]y=mx+b[/tex]m - slopeb - y-intercet → (0, b)The formula of a slope:[tex]m=\sdeac{y_2-y_1}{x_2-x_1}[/tex]====================================================14.(2, 7), (0, -5) → b = -5Calculate the slope:[tex]m=\dfrac{-5-7}{0-2}=\dfrac{-12}{-2}=6[/tex]The equation of a line:[tex]y=6x-5[/tex]15.(-6, 0), (0, -24) → b = -24Calculate the slope:[tex]m=\dfrac{-24-0}{0-(-6)}=\dfrac{-24}{6}=-4[/tex]The equation of a line:[tex]y=-4x-24[/tex]