Write the slope -intercept form of equation of the line through the given slope

Question

through : (- 1, - 3) slope = 3

Answer 1

Hi July,

The slope-intercept form of a line is y = mx + b

Where m is the slope of the line and b is the y-intercept

So, plugging in your coordinates and slope we get:

y = 3(-1) + (-3)

= y = -3 -3

= y = -6

So, this is a horizontal line that passes through -6 on the vertical axis.

Hope that helps,

Jeff

Answer 2

Hello, July,

The slope intercept form is y = mx + b, where m is the slope and b is the y intercept (the value of y when x is 0). We are given the slope (3), so the equation becomes y = 3x + b. To find b, simply enter the point given (-1, -3) and calculate for b.

-3 = 3*(-1) + b

-3 = -3 + b

b = 0

So the equation is y = 3x + 0, or y = 3x

Bob

Answer 3

y-y₀ = m(x-x₀), m=3, (x₀,y₀) = (-1,-3)

y-(-3) = 3(x-(-1))

y = 3x+3 -3 = 3x

y=3x