Answer:
y = - 4x + 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (2, 0) and (x₂, y₂ ) = (0, 8) ← x and y intercepts
m = [tex]\frac{8-0}{0-2}[/tex] = [tex]\frac{8}{-2}[/tex] = - 4
Since the line crosses the y- axis at (0, 8) ⇒ c = 8
y = - 4x + 8 ← equation of line
Answer:
y = -4x + 8
Step-by-step explanation:
According to the Slope-Intercept Formula, y = mx + b, b is the y-intercept, which is shown in the problem. So we know that [0, 8] is part of our answer. Now, m is the rate of change [slope], and to find this, we start from the y-intercept, go 8 blocks south over two blocks east, where the x-intercept is located at [2, 0]. This is what it is called rise\run. Now, -8⁄2 can be simplified, and that is equivalent to -4. This is your slope, and with that, you have this:
y = -4x + 8
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