Question

Write the following equation in slope-intercept form and identify the slope and y-intercept 5x+3y 15 The equation in slope-intercept form is y (Simplify your answ er. Type your answer in slope-intercept form. Use integers or fractions for any numbers in the expression.)

Answer 1

Answer:
`y=-(3)/(5)x+5`

y-intercept =(0,5)

Explanation:

The given equation of line :
`5x+3y=15`

The slope-intercept form of equation :
`y=mx+c`

To write the given equation in intercept form , we first subtract 3x form both sides , then divide 3 on both sides, we get

`y=(1)/(3)(15-3x)\\\\\Rightarrow\ y=5-(3)/(5)x\\\\\Rightarrow\ y=-(3)/(5)x+5`

Hence, the slope-intercept form of the given equation :-

`y=-(3)/(5)x+5`

For y intercept , put x=0 , we get

`y=5`

Hence, the y-intercept of the given line =(0,5)