Question

A line k passes through the points ​(−5​,−5​) and ​(1,37​). A second line h passes through the points ​(−3​,−33​) and ​(3​,9​). Is line k parallel to line​ h? Why or why​ not?

Answer 1

line k and second line h are not parallel lines because the have different slopes.

What is the Point-slope form?

The equation of the straight line has its slope and given point.

If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation

y-y₁ = m(x-x₁)

Where x₁ - x coordinate

y₁ - y coordinate

m - slope

A line k passes through the points ​(−5​,−5​) and ​(1,37​).

Then Slope m = 37 + 5/ 1 + 5

m = 7

Now Write the equation as;

y + 5 = 7(x + 5)

y = 7x + 30

A second line h passes through the points ​(−3​,−33​) and ​(3​,9​).

Then Slope m = 9 + 3/ 3 + 33

m = 0.33

Now Write the equation as;

y + 33 = 0.33(x + 3)

Hence, line k and second line h are not parallel lines because the have different slopes.

Learn more about equations here;

brainly.com/question/25180086

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