What would be the slope-intercept form of the equation of the line through (0, 6) and (4, 4)?

i only know this

The equation of the line of slope 4 is y=4x+b. The line goes through (-1,-6) If you step 1 unit positive in the x direction you reach the y-axis, (x=0). In order to remain on the line you need to go up 4 units, that is from -6 to -2. y=4x-2.

Step-by-step explanation:

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last graph i believe

step-by-step explanation:

worked it out i believe

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step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b