b. Suppose the points (-5,1), (-3,7), (-1,13), and (0,16) are on a line. The
slope of the line is __, and the y-intercept is __. The equation of the line is__.

Respuesta :

Equation of the line is y = 3x + 16

Step-by-step explanation:

  • Step 1: Find the slope of the line. m = (y2 - y1)/(x2 - x1)

Consider the points (-5,1) and (-3,7). Here x1 = -5, x2 = -3, y1 = 1, y2 = 7

m = (7 - 1)/(-3 - -5) = 6/2 = 3

  • Step 2: Find the y-intercept of the line from the point (0, 16)

b = 16

  • Step 3: Find the equation of the line.

y = 3x + 16