Question

Given the graph below: What is the slope? ___________

What is the y intercept? _____________
What is the equation of the line in slope-intercept form? ____________________
What is the equation of the line in standard form? ____________

Answer 1

y-intercept: First, find the y-intercept: it crosses the y-axis at 5 so b = 5

slope: Next, find the slope by counting the rise over run from the y-intercept to another point: the point they provided is (3, 0), which which is down 5 and to the right 3 so m =
`-(5)/(3)`

slope-intercept form: Then, insert m =
`-(5)/(3)` and b = 5 into the slope-intercept equation: y = mx + b, so y =
`-(5)/(3)x` + 5

standard form: The standard equation Ax + By = C can be found by multiplying everything by the denominator and moving Ax and By to one side and the number to the other side. Remember that Ax must be positive.

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

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

3y = -5x + 15

+5x +5x

5x + 3y = 15

Answers: m =
`-(5)/(3)`, b = 5, y =
`-(5)/(3)x` + 5, 5x + 3y = 15