The graph of the equation $y = m x + c$ passes through the points $(1, 4)$ and $(- 2, - 5)$ . Determine the respective values of m and c.

m = 3, c = 3

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m = 3, c = 1

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m = 1, c = 1

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m = 1, c = 3

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Solution

The correct option is B $m = 3, c = 1$
The following are some forms of equation of straight line.
(i) Gradient form :
(ii) Point slope form : $y - y_{1} = m (x - x_{1})$
(iii) Two points form : $y - y_{1} = (\frac{y_{2} - y_{1}}{x_{2} - x_{1}}) (x - x_{1})$
(iv) Slope-intercept form : $y = m x + x$
(v) Two intercept form : $\frac{x}{a} + \frac{y}{b} = 1$

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The graph of the equation y=mx+c passes through the points (1,4) and (−2,−5). Determine the respective values of m and c.

The correct option is B m=3,c=1The following are some forms of equation of straight line.(i) Gradient form : (ii) Point slope form : y−y1=m(x−x1)(iii) Two points form : y−y1=(y2−y1x2−x1)(x−x1)(iv) Slope-intercept form : y=mx+x(v) Two intercept form : xa+yb=1

The graph of the equation $y = m x + c$ passes through the points $(1, 4)$ and $(- 2, - 5)$ . Determine the respective values of m and c.