Write the equation of the line that passes through the given points (0,-4) and (-7,-10

14/-7

Step-by-step explanation:

Step 1: Find the slope

Point 1 = (0, -4)

Point 2 = (-7, -10)

m = (-10 - - 4) / (-7 - 0) = (-10 + 4) / (-7 - 0) = -6 / -7 = 6/7

m = 6/7

Step 2: Find the y-intercept

Slope-Intercept Form: y = mx + b

-m is the slope

-b is the y-intercept

---Plug in any of the given points as well as the slope into slope-intercept form and solve for b

Point: (-7, -10)

-10 = (6/7)(-7) + b

-10 = -6 + b

b = -4

Step 3: Form the equation

Slope-Intercept Form: y = mx + b

m = 6/7

b = -4

y = 6/7x - 4

Hope this helps!! :)

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Step-by-step explanation: