The equation format for a straight line is y = mx + b, where m is the slope and b is the y-intercept, the value of y at x = 0. The slope is the rate of change of the line as x changes values. It is also termed the "rise over the run," of the difference in the value of y as x is changed.
We can calculate the rise/run from the two points. (0,2) and (-4,5). The rise is the difference between the two y values (5 - 2 = 3) and the run the difference in the x values (-4 - 0 = -4). Rise/run is therefore -3/4. This is "m" in the equation.
y = -(3/4)x + b
We need to find b. Input one of the points, (0,2) and solve for b.
2 = -(3/4)*0 + b
b = 2 (the line crosses the y axis when x = 0).
The full equation becomes:
y = -(3/4)x + 2
Answer:
y = -2x + 27
Step-by-step explanation:
Firstly, we shall need to reform the given line equation;
y-7 = 1/2 ( x + 2)
y - 7 = x/2 + 1
y = x/2 + 1 + 8
y = x/2 + 8
Comparing this with y = mx + c
where m is the slope, then the slope of the line is 1/2
Since the line we are looking for has a slope perpendicular to this line, it means that the product of their slopes is -1
m1 * m2 = -1
1/2 * m2 = -1
m2 = -2
So we want an equation with slope -2 passing through (6,15)
we use the point slope method here;
y-y1 = m(x-x1)
y-15 = -2(x-6)
y-15 = -2x + 12
y= -2x + 12 + 15
y = -2x + 27
Answer:
Urgent Answer/calculate 24+18=/6^+1x3yard^=x
Step-by-step explanation:
Answer:(5-7)²
Step-by-step explanation: as h(x)=x-7 and g(x)=x²
so, goh(x)=g(h(x))
=g(x-7)
=(x-7)²
hence, goh(5)=(5-7)²
Length of the rectangle is 24.5 ft and width is 27.5 ft
Step-by-step explanation:
- Step 1: Let the length of the rectangle be x, then width = x - 3. Find dimensions when perimeter = 104 ft
Perimeter = 2(length + width)
⇒ 104 = 2(x + x-3)
⇒ 104 = 2(2x - 3)
⇒ 104 = 4x - 6
⇒ 4x = 110
∴ x = 110/4 = 27.5
⇒ x - 3 = 24.5