Concept explainers
(a)
Draw a line on a coordinate plane with x & y − interest, x **minus; intercept and no y − intercept; No x − intercept and y − intercept.
(a)
Answer to Problem 58PPS
Exactly 2 x − intercepts and exactly 2 y − intercept is not a linear equation.
Explanation of Solution
Given:
Concept Used:
x − Intercept means where the graph crosses the x axis and y = 0.
y − Intercept means where the graph crosses the y axis and x = 0.
Let an equation:
To find x − intercept, plug in y = 0 and solve for x:
To find y − intercept, plug in x = 0 and solve for y:
Equation:
x − Intercept and no y − intercept. This is a vertical line parallel to y − axis. The equation: | No x − Intercept and y − intercept. This is a Horizontal line parallel to x − axis. The equation: |
(b)
Find the characteristics were you able to create a line for which characteristics were you unable to create a line.
(b)
Explanation of Solution
Given:
For which characteristics were you able to create a line for which characteristics were you unable to create a line. Explain.
Concept Used:
Exactly two x − intercepts and exactly two y − intercept is not a linear equation .They all are curved line. We cannot draw them as linear line.
Line:
(c)
Find the meaning of x and y − intercepts.
(c)
Explanation of Solution
Given:
What must be true of the x − and y − intercept of a line?
Concept Used:
X − Intercepts means the line where crosses the x − axis. Similarly y − intercepts means the line where crosses the y − axis.
We can find the slope or inclination of the line from the x and y − intercepts.
Slope =
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