Answers

1. Answer: y = 3x + 1

   Step-by-step explanation:

   First of all, Slope Intercept form is this equation;

   y = mx + b

   y = the y-coordinate

   m = slope of the line ( Remember that this type of equation is ALWAYS linear)

   x = the x-coordinate

   b = is the y-intercept

   We can substitute the given values into the equation to find the y-intercept, b.

   ==> y = mx + b

   ==> -5 = 3(-2) + b (simplify)

   ==> -5 = -6 + b (add 6 to both sides to isolate the variable)

   ==> 1 = b

   Since we have the b, the y-intercept , we can write the standard slope-intercept equation;

   y = 3x + 1

   Hope this helped! Have a good day 😉

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2. Answer:

   y = 3x + 1

   Step-by-step explanation:

   the equation of a line in slope- intercept form is

   y = mx + c ( m is the slope and c the y- intercept )

   given m = 3 , then

   y = 3x + c ← is the partial equation

   to find c substitute (- 2, – 5 ) into the partial equation

   – 5 = 3(- 2) + c = – 6 + c ( add 6 to both sides )

   1 = c

   y = 3x + 1 ← equation of line

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