Question

Write the standard form of the line that passes through the given points. Include your work for each step in your final answer. Type your answer in the box provided to submit your solution.
(7, -3) and (4, -8)



a) Using variables, write out the formula for the standard form of the equation.

b) Determine the slope of the line.

c) Write the point-slope form of the line.

d) Using the properties of algebra, rearrange the equation into the standard form

Answer 1

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

How to write the equation of a line?

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

• A, B and C are constant

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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