Write the equation of the line through (0, - 2)(4, 10) point-slope form The line through (0, - 2) and (4, 10) point-slope form is

Answer 1

The slope is M=(10 - -2)/(4-0) = 12/4 = 3

B = y - mx = -2 - (3)(0) = -2 - 0 = -2 , which agrees as it is the y-intercept (0,-2)

y = 3x-2 is the slope intercept form

point slope form is y - 2 = 3(x-0)

y - (-2 )= 3x

y + 2 = 3x

which agrees with the slope intercept form of the equation ..

Answer 2

Use y₂ - y₁ = m(x₂-x₁)

1) Using the given points (0 , -2) & (4, 10), solve for m

(10 --2) / (4-0) = 3

2) Then you want to solve for the y-intercept using y =mx + b to solve for b. Replace m with 3X since we found the slope in Step 1.

Hint: b can be solved using either (0, -2) or (4, 10)

I hope this helps! :)