Question

Need this in 10 minsWrite the standard form of the equation of
each line given the slope and y-intercept
1) Slope=-3/5, intercepts
2) Slope =-2/3, 4 intercept = -4

Answer 1

Note:

Your first question is missing the y-intercept, so I am solving the 2nd question, but the procedure to solve each of the questions is the same.

Answer:

The equation in the standard form is:

$\frac{2}{3}x\:+\:y\:=-4$

Step-by-step explanation:

Given

Slope m = -2/3

y-intercept = -4

We know that the slope-intercept form of the line equation

y = mx+b

where

• m is the slope

• b is the y-intercept

now substituting m = -2/3 and y-intercept b = -4 in the slope-intercept of the line equation

$y = mx+b$

$y\:=\:-\frac{2}{3}x\:\:+\:\left(-4\right)$

$y\:=\:-\frac{2}{3}x\:-4$

We know that the equation in the standard form is

$Ax + By = C$

where x and y are variables and A, B and C are constants

so writing the equation in the standard form

$y\:=\:-\frac{2}{3}x\:-4$

$\frac{2}{3}x\:+\:y\:=-4$

Therefore, the equation in the standard form is:

$\frac{2}{3}x\:+\:y\:=-4$