Question

Linear Equation

Which line represents the linear equation
-3y = 15 - 4x?
The equation -3y = 15 - 4x rewritten in slope-intercept
form is
The y-intercept is and the slope of the line is
Line
v is the graph of the line -3y = 15 - 4x.

Answer 1

answer in picture

Explanation:

Answer 2

Explanation:

`\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\\\\\text{We have the equation:}\\\\-3y=15-4x\\\\-3y=-4x+15\qquad\text{ivide both sides by (-3)}\\\\\boxed{y=(4)/(3)x-5}\\\\\boxed{slope=(4)/(3)}\\\boxed{y-intercept=-5}`

`\text{To draw a graph we need only two points.}\\\text{We choose any value of x, put it to the equation of the line}\\\text{and calculate the value of y:}\\\\for\ x=0\\\\y=(4)/(3)(0)-5=0-5=-5\to(0,\ -5)\\\\for\ x=3\\\\y=(4)/(3)(3)-5=4-5=-1\to(3,\ -1)\\\\\text{The graph is in attachment}.`