Question

What is the equation of the line that passes through the point (-5,2)(−5,2) and has a slope of 4/5?

Answer 1

Answer:

30 = 5y - 4x or 6 + (4x/5) = y (in mx + c = y form)

Step-by-step explanation:

slope =

$y_{2}$ - $y_{1}$/ $x_{2}$ - $x_{1}$

now, $y_{2}$ = 2

$x_{2}$ = -5

insert the values of these two in the slope formula and equate it with 4/5.

by cross multiplication, obtain equation.

the equation is 30 = 5y-4x.

hope this helps you!

Answer 2

Answer:

The answer is

$y = \frac{4}{5}x + 6$

Step-by-step explanation:

We'll be doing the y = mx + b form.

We are gonna substitute first, then solve.

$y = mx + b \\ 2 = \frac{4}{5} ( - 5) + b \\ 2 = - 4 + b \\ \frac{ + 4 \:= + 4\: \: \: \: \: \: \: \: }{6 = b}$

Using the information given and gathered:

$y = \frac{4}{5}x + 6$