Question

A line has a slope of -4 and passes through the point (0,5). Write the equation of this line in standard form. Be sure to express the equation without fractions or decimals. (2 points, 1 for work, 1 for equation)

Answer 1

Answer:

Final answer in standard form of the line is $4x+y=5$.

Step-by-step explanation:

Given that slope of the lime m = -4

Now we need to find the equation of a line that has a slope of -4 and passes through the point (0,5). Write the equation of this line in standard form.

So plug the given slope m=-4 and the point (0,5) into point slope formula:

$y-y_1=m\left(x-x_1\right)$

$y-5=-4\left(x-0\right)$

$y-5=-4\left(x\right)$

$y-5=-4x$

$y=-4x+5$

$4x+y=5$

Hence final answer in standard form of the line is $4x+y=5$.

Answer 2

Answer:

The equation of this line in standard form is

$4x + y = 5$

Step-by-step explanation:

To find the equation of a line we need to know two points by which the line passes. You can also find the equation if you know a point through which the line passes and its slope.

For the equation of the line:

$y = mx + b$

m is the slope and b is the section.

Sane that

$m = -4$

To find b we substitute the point (0,5) in the equation and solve for b$(5) = -4 (0) + b$

$b = 5$

The equation is

$y = -4x +5.$

We rewrite the equation as:

4x + y = 5