For what values of m does the graph of y = mx?- 5x-2 have no5x - 2 have no x-intercepts?
2 answers:
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ANSWER
y = x + 7
EXPLANATION
We want to use the two points to form a linear equation in slope-intercept form.
That is in the form:
y = mx + c
To do this, we first find the slope by using formula:
where (x1, y1) = (3, 10)
(x2, y2) = (6, 13)
So, we have that:
The slope, m, is 1.
Now, we use the point-slope formula to find the equation. That is:
That is the answer.