Question

Maria wrote the equation of a line that has a slope of Four-thirds and passes through point (3, 5). Which statement is true?

The y-intercept is 4.
The slope-intercept equation is y = four-thirds x + 1.
The point-slope equation is y minus 3 = four-thirds (x minus 5).
The line also passes through the point (0, –2)

Answer 1

The slope-intercept equation is y = four-thirds x + 1

Explanation:

slope:
`(4)/(3)`

point: (3, 5)

y = mx + b

`y=(4)/(3)x+b`

`5=(4)/(3)(3)+b`

`5=4+b`

`b=5-4`

`b=1`

Equation:
`y=(4)/(3)x+1`

`-2=(4)/(3)(0)+1`

`-2=0+1`

`-2\\eq 1`

Thus, the second statement is true!