For the following exercises, assume an object enters our solar system and we want to graph its path on a
66. The object enters along a path approximated by the line
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Graphical Approach To College Algebra
- For the following exercises, find the equation of the line with the given information. 17. Passes through the point (2,1) and is perpendicular to y=25x+3 .arrow_forwardFor the following exercises, find the x-and y-intercepts of the given equationarrow_forwardFor each of the following exercises, plot the three points on the given coordinate plane. State whether the three points you plotted appear to be collinear (on the same line). 33. Name the coordinates of the points graphed.arrow_forward
- For the following exercises, determine whether the lines given by the equations below are parallel, perpendicular, orneither parallel nor perpendicular: Find the area of a triangle bounded by the y-axis,the line f(x)=124x, and the lineperpendicularto f that passes through the origin.arrow_forwardFor the following exercises, find the coordinates of the midpoint of the line segment that joins the two given points. 8. (1,5)and(4,6)arrow_forwardFor the following exercises, find the equation of the line with the given information. 15. Passes through the points (4,2)and(5,3).arrow_forward
- For the following exercises, find the equation of the line using the given information. 30. (2,0)and(2,5)arrow_forwardFor the following exercises, use your graphing calculator to input the linear graphs in the Y= graph menu. After graphing it, use the 2ndCALC button and 2:zero button, hit ENTER. At the lower part of the screen you will see “left bound?” and a blinking cursor on the graph of the line. Move this cursor to the left of the x-intercept, hit ENTER. Now it says “right bound?" Move the cursor to the right of the x-intercept, hit ENTER. Now it says “guess?” Move your cursor to the left somewhere in between the left and right bound near the x-intercept. Hit ENTER. At the bottom of your screen it will display the coordinates of the x-intercept or the “zero" to the y-value. Use this to find the x-intercept. Note: With linear/straight line functions the zero is not really a “guess,” but it is necessary to enter a “guess” so it will search and find the exact x-intercept between your right and left boundaries. With other types of functions (more than onex-intercept), they may be irrational numbers so “guess” is more appropriate to give it the correct limits to find a very close approximation between the left and right boundaries. 52.Y1=4x7arrow_forwardFor the following exercises, use your graphing calculator to input the linear graphs in the Y= graph menu. After graphing it, use the 2ndCALC button and 2:zero button, hit ENTER. At the lower part of the screen you will see “left bound?” and a blinking cursor on the graph of the line. Move this cursor to the left of the x-intercept, hit ENTER. Now it says “right bound?" Move the cursor to the right of the x-intercept, hit ENTER. Now it says “guess?” Move your cursor to the left somewhere in between the left and right bound near the x-intercept. Hit ENTER. At the bottom of your screen it will display the coordinates of the x-intercept or the “zero" to the y-value. Use this to find the x-intercept. Note: With linear/straight line functions the zero is not really a “guess,” but it is necessary to enter a “guess” so it will search and find the exact x-intercept between your right and left boundaries. With other types of functions (more than onex-intercept), they may be irrational numbers so “guess” is more appropriate to give it the correct limits to find a very close approximation between the left and right boundaries. 53.Y1=3x+54 Round your answer to the nearest thousandth.arrow_forward
- For each of the following exercises, solve for y in terms of x, putting the equation in slope-intercept form. 3. 5x=3y12arrow_forwardFor the following exercises, find the equation of the line using the given information. 35. (1,3)and(4,5)arrow_forwardFor the following exercises, use your graphing calculator to input the linear graphs in the Y= graph menu. After graphing it, use the 2ndCALC button and 2:zero button, hit ENTER. At the lower part of the screen you will see “left bound?” and a blinking cursor on the graph of the line. Move this cursor to the left of the x-intercept, hit ENTER. Now it says “right bound?" Move the cursor to the right of the x-intercept, hit ENTER. Now it says “guess?” Move your cursor to the left somewhere in between the left and right bound near the x-intercept. Hit ENTER. At the bottom of your screen it will display the coordinates of the x-intercept or the “zero" to the y-value. Use this to find the x-intercept. Note: With linear/straight line functions the zero is not really a “guess,” but it is necessary to enter a “guess” so it will search and find the exact x-intercept between your right and left boundaries. With other types of functions (more than onex-intercept), they may be irrational numbers so “guess” is more appropriate to give it the correct limits to find a very close approximation between the left and right boundaries. 51.Y1=8x+6arrow_forward