We read your photo as:

Find the gradient and y-intercept of the equation 2x + y = 3.

Mathematics

ScanSolve AI Answer

Answer

-2
3
Graph of y = −2x + 3

Use the left and right arrow keys to trace the curve, up and down to jump between key points, and plus and minus to zoom.

Key points of y = −2x + 3
Pointxy
y-intercept03
x-intercept1.50

Step-by-step solution

3 steps

Here's how to find the gradient and intercept of the given equation:

The equation is 2x+y=32x + y = 3.
To find the gradient and y-intercept, we need to express the equation in the slope-intercept form, which is y=mx+cy = mx + c, where mm is the gradient and cc is the y-intercept.

  1. Rearrange the equation to solve for yy.

    2x+y=32x + y = 3

    Subtract 2x2x from both sides of the equation:

    y=−2x+3y = -2x + 3
  2. Identify the gradient (mm).

    Comparing y=−2x+3y = -2x + 3 with y=mx+cy = mx + c, the coefficient of xx is the gradient.
    The gradient m=−2m = -2.

  3. Identify the y-intercept (cc).

    Comparing y=−2x+3y = -2x + 3 with y=mx+cy = mx + c, the constant term is the y-intercept.
    The y-intercept c=3c = 3.

    The gradient is −2\boxed{-2} and the y-intercept is 3\boxed{3}.

Was this helpful?

Try one yourself

A new problem that tests the same skill.

Still stuck on this one?

Ask a follow-up, and the answer starts from this question.

Got a different question?Ask your own question
Handwritten step-by-step solution preview

Handwritten Step-by-Step Solution

Get this as a handwritten image on WhatsApp — like a tutor wrote it for you.

Try on WhatsApp