Answer:
(0, 3)
Step-by-step explanation:
The y-intercept of any function can generally be defined as: , since the y-intercept is when the function crosses the y-axis.
Anywhere on the y-axis, the x-value = 0, so the x value of the y-intercept will always be 0, and the y value is f(0), since x=0.
By looking at the graph it appears to intercept the y-axis at (0, 3) which should be the answer
Slope intercept form of a line perpendicular to 3x + y = -8, and passing through (-3,1) is
<u>Solution:</u>
Need to write equation of line perpendicular to 3x+y = -8 and passes through the point (-3,1).
Generic slope intercept form of a line is given by y = mx + c
where m = slope of the line.
Let's first find slope intercept form of 3x + y = -8
3x + y = -8
=> y = -3x - 8
On comparing above slope intercept form of given equation with generic slope intercept form y = mx + c , we can say that for line 3x + y = -8 , slope m = -3
And as the line passing through (-3,1) and is perpendicular to 3x + y = -8, product of slopes of two line will be -1 as lies are perpendicular.
Let required slope = x
So we need to find the equation of a line whose slope is and passing through (-3,1)
Equation of line passing through and having lope of m is given by
Substituting the values we get,
Hence the required equation of line is found using slope intercept form
All you have to do is follow the steps shown in the pictures and you’ll get your answer,
