Write an equation in standard form of the line that passes through the given points. (0,2) and (8,0)

Question

Write an equation in standard form of the line that passes through the given points.

(0,2) and (8,0)

Answer 1

With the information you were given you can use the POINT-SLOPE formula to find the equation of the line

but you need to calculate the slope,m. You can do that with the slope formula since you have 2 points:

SLOPE Formula; m = (y₂ - y₁)/(x₂-x₁) POINT-SLOPE Formula, y - y₁ = m (x - x₁)

Using points (0, 2) and (8, 0)

Find the slope, m = (0 - 2)/(8 -0) = ^-2/₈ = ^-1/₄

POINT-SLOPE formula, pick ANY of the two points. I will use (8, 0)

y - 0 = ^-1/₄(x - 8)

y - 0 = ^-1/₄(x) - (^-1/₄)(8)........................... (^-1/₄)(8), the 4 goes into 8, 2 times, so you're left with -1x2 = -2

y - 0 = ^-1/₄(x) - (-2)

y = ^-1/₄ (x) + 2 Final Answer

Hope this helps...

Answer 2

In order to find the equation you need 2 things: slope and y-intercept.

Slope = (y2 - y1)/(x2 - x1) = (0-2)/(8-0) = -2/8 = -1/4

y-intercept is 2.

Equation of a line is y=mx+b ; m is the slope and b is the y-intercept.

Therefore, the equation is y = (-1/4)x + 2.

Hope it helps and makes sense.