Find the gradient from point (1;2) and (4;5)

Mathematics

ScanSolve AI Answer

Answer

1\mathbf{1}

Step-by-step solution

4 steps

  1. Recall the formula for the gradient (slope) of a line.

    The gradient mm between two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by the formula:

    m=y2−y1x2−x1m = \frac{y_2 - y_1}{x_2 - x_1}

  2. Identify the coordinates of the given points.

    Let (x1,y1)=(1,2)(x_1, y_1) = (1, 2) and (x2,y2)=(4,5)(x_2, y_2) = (4, 5).

  3. Substitute the coordinates into the gradient formula.

    m=5−24−1m = \frac{5 - 2}{4 - 1}

  4. Calculate the gradient.

    m=33m = \frac{3}{3} m=1m = 1

    The gradient of the line is 1\mathbf{1}.

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

More Mathematics Questions

QFind the gradients of the line joining the following pairs of points: a) (2,5) and (4,8) b) (−3,2)…QFind the equation of the line given the following points (0,0) and (1,4). Calculate the gradient.QFind the gradient of a line joining the points A(−4,−6) and B(6,8).QFind the gradient of the line joining the points A(3,4) and B(9,16).QDetermine the equation of the line whose gradient is 2 and passes through the point (0, 4).
See all Mathematics questions →
Got a syllabus? Photograph it and I'll tell you what's due and what's worth the most.
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