How do you write 2x 3y 15 in slope-intercept form?

1 Answer

  1. Rearrange 2x−3y=15 into this form.
  2. 2x −2x −3y=−2x+15.
  3. ⇒−3y=−2x+15.
  4. ⇒y=23x−5← in slope-intercept form.
  5. choose x=3 and find y.
  6. x=3→y=(23×3)−5=2−5=−3.

How do you solve 2x 3y 13?

Algebra Examples Subtract 3y from both sides of the equation. Divide each term by 2 and simplify. Divide each term in 2x=13−3y 2 x = 13 – 3 y by 2 2 . Cancel the common factor of 2 2 .

Is 2x 3y 12 a linear function?

Explanation: 2x+3y=12 is the standard form for a linear equation.

What is the y-intercept of the line 2x 3y?

The y-intercept is y=2 .

How do you find the equation of a line given points?

Steps to find the equation of a line from two points:

  1. Find the slope using the slope formula.
  2. Use the slope and one of the points to solve for the y-intercept (b).
  3. Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.

How do you find an equation from a graph?

To graph an equation using the slope and y-intercept, 1) Write the equation in the form y = mx + b to find the slope m and the y-intercept (0, b). 2) Next, plot the y-intercept. 3) From the y-intercept, move up or down and left or right, depending on whether the slope is positive or negative.

How do you find a function on a graph?

How To: Given a graph, use the vertical line test to determine if the graph represents a function.

  1. Inspect the graph to see if any vertical line drawn would intersect the curve more than once.
  2. If there is any such line, the graph does not represent a function.

What is the y-intercept for the graph of the equation 3x 5y 15?

Using the slope-intercept form, the y-intercept is 3 .

How do you find the slope from points on a graph?

Pick two points on the line and determine their coordinates. Determine the difference in y-coordinates of these two points (rise). Determine the difference in x-coordinates for these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).