Question

Write the slope-intercept form of the equation for the line that passes through the point (-1,3) and has a slope of 5/3​

Answer 1

`y=(5)/(3)x+4(2)/(3)`

Explanation:

slope-intercept form: y = mx + b

Given:

Slope(m) =
`(5)/(3)`

Point = (-1, 3)

To write the equation in slope-intercept form we need to know the slope(m) and the y-intercept(b). Since we already know the value of m, we can use it and the given point to find b:

`3=(5)/(3)(-1)+b`

`3=-(5)/(3)+b`

`4(2)/(3)=b`

Now that we know the values of b and m, we can write the equation:

`y = (5)/(3)x+4(2)/(3)`