Question

Sketching Lines In Exercises 11 and 12, sketch the lines through the point with the indicated slopes on the same set of coordinate axes Point es 12. (-4,1) (a) 4 (b) -2 (c) (d) Undefined

Answer 1

uation of a straight line in terms of slope (m) and intercept on y- axis Cc) is given by 1) '(-4,1) ties on the line Putting -4, y1 irto d), we get H tough (-4, 1) has y- intexcept 17- umt ence, 7equired line passes · (-4,1) lies on the tỉne Putting χ -4)yz1 and m--2 intol,,we get hce, required tine passes thyoug h (t,1) and y-inercept 7 umit below the x- ais as се

2. (-4, 1) lies on the Une Putting χΞ_ty 1 and mT İnto (I),we get 2 Hence, req uired tine passas through (-4,) and has y-intecept 3 un# (d) m is Undefined . e. tan θ is undefined whey e θ is the inclination of the 1ine with pasitive x-axis θ must be 90. Counteyclock wise) and so lines parattet io y- axis and passes ough-4, 1)

17 13 12 Slope undefid ヂ