Question

How to write the equation of the line with m = 3 going through the point (–2, –5) in Slope–Intercept Form.

Answers

1. mocmien2
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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