a. The standard form of an equation is A x + By = C.
b. The slope of the line is 5 / 3
c. The point slope form of the line is y + 3 = 5 / 3 (x - 7)
d. The standard form of the line is 3y - 5x = -44
<h3>How to write the equation of a line?</h3>
The equation of a line can be represented in different form such as slope intercept form, standard form, general form and point slope form.
The standard form of an equation is represented as follows;
A x + By = C
where
Therefore,
let's find the slope of the line passing through (7, -3) and (4, -8).
m = slope = - 8 + 3 / 4 - 7
m = -5 / -3
m = 5 / 3
The point slope form is represented as follows;
y - y₁ = m(x - x₁)
using (7, -3)
y + 3 = 5 / 3 (x - 7)
Let's rearrange the equation into standard form.
y + 3 = 5 / 3 (x - 7)
y + 3 = 5 / 3 x - 35 / 3
y - 5 / 3 x = - 35 / 3 - 3
y - 5 / 3 x = -44 / 3
Therefore,
3y - 5x = -44
learn more on equation of a line here: brainly.com/question/14200719
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Answer:
she got 30 miles per gallon of gas
Step-by-step explanation:
Hello There!
Write formula:
Area = l x w
Substitute values in:
Area = 3 x 2
Solve:
Area = 6ft².
Convert to Square inches:
6ft² = 864in²
Hope This Helps You!
Good Luck :)
- Hannah ❤
Answer:
While there is a strong relationship between the two, it would certainly be ridiculous to talk about a tree with a circumference of –3 feet, or a height of 3000 feet. When we identify limitations on the inputs and outputs of a function, we are determining the domain and range of the function.
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
(a)
OC = OB ( both radii of the circle )
Thus Δ BOC is isosceles with congruent base angles.
∠ BOC = ∠ BCO = 50°
(b)
∠ ACB = 90° ( angle in a semicircle ), then
∠ ACO = 90° - 50° = 40°
OA = OC ( both radii of the circle )
Thus Δ ACO is isosceles with congruent base angles.
∠ BAC = ∠ ACO = 40°