Solution :
the y-intercept always has a corresponding x-value of 0, replace x with 0 in the equation and solve for y. On a graph, the y-intercept can be found by finding the value of y when x=0. This is the point at which the graph crosses through the y-axis.
The x-intercept is the point where a line crosses the x-axis, and the y-intercept is the point where a line crosses the y-axis
I can give you the key points to look for without the graph. You'll have to do that.
Consider old y intercept = 2
New y-intercept
The intercept increases by 3. Currently, it is 3. The new y-intercept is 2 + 3 = 4
The new Slope
The slope is multiplied by 1/2 . Currently it is (y2-y1)/(x2 - x1) = (2-0)/(0-6) = 2/-6= - 1/3
This is multiplied by 1/2
1/2*(-1/3) = -1/6
New equation
y = -1/6x + 4
x-intercept.
The x-intercept occurs when y = 0.
0 = -1/6x + 4
-4= -1/6x
4*6= x
24= x
Discussion
the line that goes through two points
(0,4) and (24,0)
More details :brainly.com/question/18532103
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