Respuesta :
Answer:
y=3x−2
Step-by-step explanation:
To find the equation of the line that passes through the point (−2,−8) and has a slope of 3, we can use the point-slope form of the equation of a line, which is y − y1 = m ( x − x1 ), where m is the slope and (x1, y1) is the point. Substituting the given values, we get:
y−(−8) = 3 (x−(−2)
Simplifying and rearranging, we get the slope-intercept form of the equation, which is y=mx+b, where m is the slope and b is the y-intercept. In this case, we have:
y = 3x − 2
Therefore, the equation of the line that passes through the point (−2,−8) and has a slope of 3 is y=3x−2
To check my answer, plug-in (-2, -8) for the x and y values, -8 = 3 * -2 - 2
= -8 = -6 -2
= -8 = -8
Therefore, it is true.
