HELP PLEASE! 15 PTS
2 answers:
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Slope-intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept (the y value when x = 0)
You need to find "m" and "b"
1.) For lines to be perpendicular, their slopes have to be the opposite/negative reciprocal (flipped sign and number)
For example:
slope is 2
perpendicular line's slope is -1/2
slope is -2/3
perpendicular line's slope is 3/2
The given line's slope is -4, so the perpendicular line's slope is 1/4.
y = 1/4x + b
To find "b", you can plug in the point (4, -2) into the equation
y = 1/4x + b
-2 = 1/4(4) + b
-2 = 1 + b
-3 = b
2.) To find "m", use the slope formula and plug in the two points:
y = -3/2x + b
Plug in one of the points to find "b"
y = -3/2x + b
-1 = -3/2(4) + b
-1 = -6 + b
5 = b
3.) y-intercept: 5 (since the given equation's y-intercept is 5)
I'm confused with what they mean by "steep", so I'll try to update this later unless someone else has an answer
So I looked it up, and it says that a steep slope is a line that is more vertical [if that makes sense]. So you could do a slope of +3 (more than 3, like 4, 5, 6...) because the given line's slope is 3, and you need a new line that is more steeper(vertical)
Answer:
<h2> y = -0.5x </h2>Step-by-step explanation:
(−4, 2) ⇒ x₁ = −4, y₁ = 2
(6,−3) ⇒ x₂ = 6, y₂ = −3
So the slope:
The point-slope form of the equation of the line passing through point (x₀,y₀) and with slope m is: y - y₀ = m(x - x₀)
m = -0.5
(−4, 2) ⇒ x₀ = −4, y₀ = 2
Therefore:
y - 2 = -0.5(x - (-4))
y - 2 = -0.5x - 2 {add 2 to both sides}
y = -0.5x ← the slope-intercept form of the equation (b=0)