The line y = mx + c passes through the points (-2, 1) and (4,4). Write down a pair of simultaneous equations involving m and c. Solve the simultaneous equations.

Name: the line y mx c passes through the points 2 1 and 44 write down a pair of simultaneous equations involving m and c solve the simultaneous equations 14433
Uploaded: 2022-08-12T17:29:15-08:00
Duration: 3 min 40 s
Channel: Jerelyn Nevil
Description: the line y mx c passes through the points 2 1 and 44 write down a pair of simultaneous equations involving m and c solve the simultaneous equations 14433

          The line y = mx + c passes through the points (-2, 1) and (4,4).
Write down a pair of simultaneous equations involving m and c.
Solve the simultaneous equations.

Added by Nicholas B.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Jerelyn Nevil

08/12/2022

Step 1

Given points: (-2, 1) and (4, 4) The slope (m) can be calculated as (change in y) / (change in x): m = (4 - 1) / (4 - (-2)) = 3 / 6 = 1/2 Using the point-slope form of a linear equation, we have: y = (1/2)x + c ** Show more…

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The line y = mx + c passes through the points (-2, 1) and (4,4). Write down a pair of simultaneous equations involving m and c. Solve the simultaneous equations.