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

Question

asked Feb 9, 2022 109k views

1 Answer

Adam Kaplan · Answer 1 · 2022-02-13T03:36:03+0000

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:

$(2)/(3)x\:+\:y\:=-4$

Explanation:

Given

Slope m = -2/3

y-intercept = -4

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

y = mx+b

where

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

y = mx+b

$y\:=\:-(2)/(3)x\:\:+\:\left(-4\right)$

$y\:=\:-(2)/(3)x\:-4$

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

$y\:=\:-(2)/(3)x\:-4$

$(2)/(3)x\:+\:y\:=-4$

Therefore, the equation in the standard form is:

$(2)/(3)x\:+\:y\:=-4$