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What is an equation of the line that passes through (-2,3) and is parallel to y=5x + 4.Give your answer in slope intercept form [y=mx+b]

User Milosz
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1 Answer

2 votes

Answer:

y= 5x+13

Explanation:

Slope- intercept form

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

Parallel lines have the same gradient.

y= 5x +4

Gradient of given line= 5

Thus, gradient of line= 5

Subst. m=5 into the equation.

y= 5x +b

To find the value of b, substitute a coordinate

When x= -2, y=3,

3= 5(-2) +b

3= -10 +b

b= 3 +10 (+10 on both sides)

b= 13

Thus, the equation of the line is y= 5x +13.

User Akos Nagy
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