Answer:
The y-intercept and x-intercept of the line are 2 and -4 respectively.
Step-by-step explanation:
Given equation of line -x + 2y = 4
We have to find the y-intercept and x-intercept of the line.
Consider the given equation of line -x + 2y = 4
the y-intercept of line is the point where the line touches y axis and we know at y axis the coordinate of x is 0.
Thus, putting x = 0 in line equation , we get,
-(0) + 2y = 4
⇒ y = [tex]\frac{4}{2}[/tex]
⇒ y = 2
the x-intercept of line is the point where the line touches x axis and we know at x axis the coordinate of y is 0.
-x + 2(0) = 4
⇒ x = - 4
Thus, the y-intercept and x-intercept of the line are 2 and -4 respectively.
Answer:
y-intercept is 2 and x-intercept is -4
Step-by-step explanation:
The first step is to re-write the equation of the line in slope-intercept form; [tex]y=mx+c[/tex] where m is the slope and c the y-intercept. In this case we have; [tex]y=\frac{1}{2} x+2[/tex]. To determine the y-intercept we set the x to be equal to zero; [tex]y=\frac{1}{2}(0)+2=2[/tex] and the y-intercept is thus 2. To determine the x-intercept we set y to be equal to zero and solve for x; [tex]0=\frac{1}{2}x+2[/tex]. Solving for x yields -4.
