Write the equations of the lines if 'm' and 'c' are given as follows.
(i) m = 5, c = $-$ 1
(ii) m = $-$ 4, c = $-$ 3
(iii) m = $-$ 2, c = 3
(iv) m = 4, c = 0
(v) m = 0, c = 2
(vi) m = 0, c = $-$ 3

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Solution

(i) Here, slope of the line, m = 5 and y-intercept, c = $-$ 1
We know that slope intercept form of a line is y = mx + c.
∴ y = 5x $-$ 1 is the required equation.

(ii) Here, slope of the line, m = $-$ 4 and y-intercept, c = $-$ 3
We know that slope intercept form of a line is y = mx + c.
∴ y = $-$ 4x $-$ 3 is the required equation.

(iii) Here, slope of the line, m = $-$ 2 and y-intercept, c = 3
We know that slope intercept form of a line is y = mx + c.
∴ y = $-$ 2x + 3 is the required equation.

(iv) Here, slope of the line, m = 4 and y-intercept, c = 0
We know that slope intercept form of a line is y = mx + c.
∴ y = 4x + 0 or y = 4x is the required equation.

(v) Here, slope of the line, m = 0 and y-intercept, c = 2
We know that slope intercept form of a line is y = mx + c.
∴ y = 0x + 2 or y = 2 is the required equation.

(vi) Here, slope of the line, m = 0 and y-intercept, c = $-$ 3
We know that slope intercept form of a line is y = mx + c.
∴ y = 0x $-$ 3 or y = $-$ 3 is the required equation.

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Write the equations of the lines if 'm' and 'c' are given as follows. (i) m = 5, c = -1 (ii) m = -4, c = -3 (iii) m = -2, c = 3 (iv) m = 4, c = 0 (v) m = 0, c = 2 (vi) m = 0, c = -3

Write the equations of the lines if 'm' and 'c' are given as follows.
(i) m = 5, c = $-$ 1
(ii) m = $-$ 4, c = $-$ 3
(iii) m = $-$ 2, c = 3
(iv) m = 4, c = 0
(v) m = 0, c = 2
(vi) m = 0, c = $-$ 3