Final answer:
Upon solving the equations of the two lines to find their intersection point, the result does not match any of the provided answer choices. This implies an error in the question or answer choices, as the calculated intersection point using standard algebraic techniques does not correspond to any options listed.
Step-by-step explanation:
The question asks at what point two lines with given slopes and y-intercepts intersect. The first line has a slope of 34 and a y-intercept of −5. The second line has a slope of −14 and a y-intercept of 3. To find the intersection point, we set up the equations of the two lines and solve for the point where they are equal:
First line: y = 34x − 5
Second line: y = −14x + 3
Setting them equal to each other:
34x − 5 = −14x + 3
Adding 14x to both sides and adding 5 to both sides:
34x + 14x = 3 + 5
48x = 8
Dividing both sides by 48 gives x = 1/6, which does not match any of the answer choices. Thus, there might be an error in the question or the answer choices since none of the provided options correspond to the solved intersection point of the two lines when following the above steps.