Answer:
y = -2x - 5
Step-by-step explanation:
An equation of a line in slope-intercept is y=mx + b.
x and y are points on the line.
m is the slope.
b is the y-intercept.
To find this equation, we will need to find m and b.
When lines are parallel, they have the same slope.
A line parallel to y = -2x + 3 has a slope of -2.
m = -2
To find b, substitute into the equation a point on the line (-2, -1) and m = -2.
A point is in the form (x, y). So x = -2, y = -1.
y = mx + b
-1 = (-2)(-2) + b Simplify by multiplying the (-2)(-2)
-1 = 4 + b Subtract 4 from both sides to isolate b
-5 = b
b = -5 Writing the variable on the left side is standard formatting
Since we now know the y-intercept, b= -5, and the slope, m = -2, substitute them into y=mx + b to get the equation of the line.
y = -2x - 5
Answer:
Step-by-step explanation:
use logarithmic function
Answer:
28.57 m²
Step-by-step explanation:
Use rational terms.
Cross multiply:
7/9 · x = 1/9 · 200
7/9x = 200/9
x = 200/9 ÷ 7/9
x = 200/9 × 9/7
x = 200 · 9 / 9 · 7
x = 200 / 7
x = 28.57 m
Answer:
2 ( 2a + 3b - 4)
Putting the value of a= 2 and b = 3 in the equation
2( 2(2) + 3(3) -4)
2 (4 + 9 -4)
2( 4 -4 + 9)
2 (0 + 9)
2 (9)
2 × 9
18
Answer: 6 miles
Step-by-step explanation:
From the question, we are informed that the taxi charges $4.75 for the first mile, and then $2.25 for each mile after that and that the total charge is $18.25.
The distance of Sara's taxi ride to the movie would be:
4.75 + 2.25m = 18.25
where,
m = number of miles
4.75 + 2.25m = 18.25
2.25m = 18.25 - 4.75
2.25m = 13.5
m = 13.5 / 2.25
m = 6 miles
The answer is 6 miles.