Answer:
y = 1/4 x -3
Step-by-step explanation:
y = -4x + 3;
the slope of this equation is -4
we want the slope perpendicular to this
take the negative reciprocal
- (-1/4) = 1/4
so the slope of our line will be 1/4
we have the slope and a point so we can use point slope form
y-y1 = m (x-x1)
y--2 = 1/4(x-4)
y+2 = 1/4 (x-4)
we need to change it to slope intercept form (y=mx+b)
distribute
y+2 = 1/4 x -1/4*4
y+2 = 1/4x -1
subtract 2 from each side
y +2-2 = 1/4 x -1-2
y = 1/4 x -3
the slope is 1/4 and the y intercept is -3
Answer:
You need to provide more information, images data etc.
Step-by-step explanation:
Answer:
$
Step-by-step explanation:
Let's assume
represents the number of pounds of fruit.
We need to multiply the number of pounds of fruit by the cost per pound.
This is $
, or in a simpler form, $
.
Answer:
y=-2x-4
Step-by-step explanation:
Given that,
Slope, m = -2
It passes through the point (1,-6).
We need to find the equation of line that passes throgh the given point. It can be calculated as:

Put y₁ = -6, x₁ = 1 and m = -2

Hence, the equation of line is y=-2x-4.
Answer: 55
Step-by-step explanation: There is one simple theorem we need to know in order to solve for this.
Triangle Angle-Sum Property: All three angles interior angles of a triangle add up to 180°.
Thus, we could label the points A, B, and C, and set up an algebraic expression.
Let A = 27, B = 98, and C = x.
A + B + C = 180°.
Substituting A, B, and C we get:
27 + 98 + x = 180°.
Adding, we get:
125 + x = 180°
Subtracting 125 by 180, we get:
x = 55°
Thus, the angle X is 55°.
We could have simply solved this by just doing 180 - 98 - 27 = 55 in the first place, but I wanted to show you how I got such results.