Find the x-intercept of the following equation. Simplify the answer. 5x − y = –7
2 answers:
Answer:
The x-intercept is -7/5.
Step-by-step explanation:
Firstly, you must know what is intercept<em>.</em><em> </em><em>I</em><em>n</em><em>t</em><em>e</em><em>r</em><em>c</em><em>e</em><em>p</em><em>t</em> is the line where it touches the axis. When a line touches the one axis, the other axis <em>m</em><em>u</em><em>s</em><em>t</em><em> </em>be zero. So in this question, it given to us to find the x-intercept which means that y coordinate is zero. We have to let y equals to zero and solve for the value of x :
Let y = 0,
5x - y = -7
5x - 0 = -7
5x = -7
x = -7/5(improper fraction) or -1 2/5(mixed no.)
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Given:
The inequality is:
To find:
The y-intercept, slope and type of line (solid or dotted).
Solution:
The slope intercept form of a line is:
...(i)
Where, m is the slope and b is the y-intercept.
We have,
The relation equation is:
...(ii)
On comparing (i) and (ii), we get
It means the slope is 5 and the y-intercept is 3.
The sign of the inequality in the given inequality is ">". It means the boundary line is not included in the solution set. So, the boundary line is a dotted line.
Therefore, the slope is 5, the y-intercept is 3 and the line is a dotted line.