8. Given a line l defined by y = 3x – 8. (hint: m=?) (a) Write the slope-intercept equation for the line r parallel to line l and passing through point P(6, 3). %3D The slope-intercept form is (b) Write the slope-intercept equation for the line s perpendicular to line l and passing through Q(0, 2). The slope-intercept form is 8. (cont'd) (c) Show or explain why a line w, defined by the equation 2x + y = 12, must intersect line l, y = 3x – 8. Show or explain here: %3D %3D -

Q: Consider the line 15x+16y=16 what is the y-intercept of the parallel line through (16,16).

A:

Q: Find the equation of the smaller circle that touches the circles x2 +y2=1  and passes through the…

A:

Q: 1.- (-3,-2) 2.- (3, 3) 3.- (1,--5). 4. (4,-4) 4 5.-(-3,--5) 6.- (3,-5) 7.+ (-2,-4) 8. (1, -3)

A: rectangular coordinate are (x,y)

Q: x- - Consider the equations 2x + 4y = 8 and y = 10. Select the point where the graphs of these two…

A: Point of intersection is the point which lies on both lines, simply they are values of x and y that…

Q: What is an equation that is perpendicular to the line 4x + 6y = 6 ?

A: Given: 4x+6y=6

Q: Are the lines y = 2x + 1 and y = −2x − 4 perpendicular?

A:

Q: I draw this on paper

A:

Q: Line L1 has equationy = (-5/7)x+ (2/3) and line L2 has equation y = (7/5) x + (2/3). Are the lines…

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Q: Does the equation y=5csc(2x+6pi)- 6 include a vertical shift? Horizontal shift?

A: Given equation,  y = 5cosec(2x + 6π) - 6 Does it include horizontal shift and vertical shift?

Q: Graph the equation 3x - 4y = 8 on the xy-plane

A:

Q: What is the equation of a circle with its center at (0,–2) and passing through the point (3, –5)?

A: Given,          The equation of a circle with its center at 0,-2 and passing through the…

Q: The y-intercept should be a coordinate point like (0,15), so what would it be?

A: The given y-intercept is a coordinate point like (0,15)

Q: Find a Cartesian equation for r = 3t – 1, y = 4t + 2.

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Q: Find the y-intercepts: O (-1,0) and (3,0) O (5,0) and (0,-2) O (0,5) and (0, -2) O (0.-1) and (0,3)

A: Remember that y-intercept is the point on the graph where the curve cuts y-axis. i.e. ( 0 , f(0) )…

Q: i. Write the equation below in standard form. 1 3x 5 2

A: ii. Write the equation below in standard form y2-3x=15. i. Write the equation of the line passing…

Q: ​The line produced by the equation Y = 4X – 5 crosses the vertical axis at Y = 5. True or False

A:

Q: The point Q(-7,7) is translated by T[23] and then receded with the y=-x axis then the resulting…

A:

Q: The graph of y=-3x + 19 passes through (1, -8a) in the standard (x, y) coordinate plane. What is the…

A:

Q: equation of the vertical line passing through (5,6) is:

A: We will find the equation of line.

Q: 12) through: (-3, –5), parallel to y = 4

A: The line passes through (-3,-5) and parallel to y=4