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The slope intercept form is given as y = 2x + 6
The general expression for slope intercept form is given as:
y = mx + c
where, m = slope
c = intercept
The formula for slope intercept form when we have been given the coordinates of a point and slope is given as :
(1)
where ( = the coordinates of a point
m = slope of the line
putting the required values in equation (1) we get
(y - 4) = 2(x- (-1))
(y - 4) = 2(x+1) [As (-)*(-) = +]
y - 4 = 2x + 2
y = 2x + 2 + 4
y = 2x + 6
Thus the slope intercept form is y = 2x + 6
Learn more about slope intercept form here : brainly.com/question/19440459
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Answer:
The point of intersection is:
Step-by-step explanation:
We want to find the point in QI at which the line with the equation:
Intersect a circle with a radius of 3 and a center of (0, 5).
First, write the equation of a circle. The equation for a circle is given by:
Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
Since our center is (0, 5), <em>h</em> = 0 and <em>k</em> = 5. The radius is 3. So, <em>r</em> = 3. Substitute:
Simplify:
At the point where the two equations intersect, its <em>x-</em>coordinate and <em>y-</em>coordinate will be the same. Therefore, we can substitute the equation of the line into the equation of the circle and solve for <em>x</em>. So:
Simplify:
Square:
Combine like terms:
Solve for <em>x: </em>
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Note that since we are looking for the point of intersection in QI, <em>x</em> should be positive. So, we can ignore the negative answer.
To find the <em>y-</em>coordinate, substitute the <em>x-</em>value back into either equation. Using the linear equation:
So, the point of intersection in QI is: