Question

Write the slope-intercept form of the line that passes through the point (-3, - 6 ) and is parallel to the line y = 5x+4.​

Answer 1

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Explanation:

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Answer 2

y= 5x +9

Explanation:

Slope- intercept form:

y= mx+c, where m is the gradient and c is the y-intercept.

Parallel lines have the same gradient. Since the gradient of the given line is 5, the gradient of the unknown line is also 5. Hence, m=5.

y= 5x+c

To find the value of c, substitute a coordinate.

When y= -6, x= -3,

-6= 5(-3) +c

-6= -15 +c

c= 15 -6 (+15 on both sides)

c= 9 (simplify)

Thus, the equation of the line is y=5x+9.