# Q16) Find an equation for the line with the given properties. Expre...

## Transcribed Text

Q16) Find an equation for the line with the given properties. Express your answer using either the general form or the slope-intercept form of the equation of a line. Perpendicular to the line y = x = 1 X - 1; containing the point ( - 1,3) Q17) Find the equation of the line with the given properties. Express the equation in general form or slope-intercept form. Perpendicular to the line 5x + y = 31; contains the point (5,5) Q18) Find the slope and y-intercept of the line. Graph the line. 2x - 5y = 10 What is the slope of the line? What is the y-intercept of the line? Q19) (a) Find the intercepts of the graph of the following equation. (b) Graph the equation. 3x + 6y = 9 Q20) Using the given equation, (a) find the intercepts of its graph and (b) graph the equation. x + y = 1 Q21) Write the standard form of the equation and the general form of the equation of the circle with radius r and center (h,k). Then graph the circle. r=5; (h,k)=(4,3) Q22) A circle has the equation x2+y2 + 3x - 4y + 4 = 0. (a) Find the center (h,k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any, of the graph. Q23) For the equation 3x2 + 3y2 - 24x + 12y - 15 = 0, do the following. (a) Find the center (h,k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any. Q24) Find the standard form of the equation of the circle having the following properties: Center at the point ( - 4,5) Tangent to the X-axis Q25) Find the standard form of the equation of the circle with endpoints of a diameter at the points (1,8) and ( - 9,2). Type the standard form of the equation of this circle.

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