Find an equation in point-slope form for the line having the slope m= - 4 and containing the point (4,5).
1 answer:
<h2>Answer: y - 5 = - 4 (x - 4)</h2>
Step-by-step explanation:
The point-slope form of a line is (y - y₁) = m(x - x₁)
Since we know the slope (m) is -4
And the point ( x₁, y₁ ) is (4, 5)
Then we can just plug these into the equation above:
⇒ y - 5 = - 4 (x - 4)
<em>I often use Desmos to check my answer. As seen below, the equation does pass through the point (4, 5).</em>
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Answer:
y = - x + 3
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 =
with (x₁, y₁ ) = (0, 3) and (x₂, y₂ ) = (4, 0) ← 2 points on the line
m = = -
The line crosses the y- axis at (0, 3 ) ⇒ c = 3
y = - x + 3 ← equation of line