Respuesta :
Answer:
y = [tex]\frac{4}{3}x -5[/tex] is the slope intercept form
Step-by-step explanation:
Slope intercept form of line is given by
y = mx + b ,where m is the slope and b is Y intercept.
since here the equation is given to be
-3y = 15 -4x
solving the equation for y ,we divide both sides by -3 ,we get
y = [tex]\frac{15-4x}{-3}[/tex]
which gives
y = [tex]\frac{4}{3}x -5[/tex]
on comparing it with standard equation ,we get
slope = [tex]\frac{4}{3}[/tex] and Y intercept = -5
The equation (-3y = 15 - 4x) rewritten in slope-intercept form is (y = (4/3)x - 5), the y-intercept is -5, and The slope of the line is 4/3.
Given :
Linear equation -- -3y = 15 - 4x
The following steps can be used in order to determine the line that represents the given linear equation:
Step 1 - The slope-intercept form can be used in order to determine the line that represents the given linear equation.
Step 2 - The slope-intercept form is given below:
y = mx + c
Step 3 - Now, write the given equation in slope-intercept form.
[tex]\rm y = \dfrac{4}{3}x - 5[/tex]
Step 4 - So, the slope of the given equation is 4/3 and the y-intercept is -5.
1) The equation (-3y = 15 - 4x) rewritten in slope-intercept form is (y = (4/3)x - 5). Therefore, the correct option is C).
2) The y-intercept is -5, Therefore, the correct option is A).
3) The slope of the line is 4/3. Therefore the correct option is C).
For more information, refer to the link given below:
https://brainly.com/question/38332
