Find k such that the equation kx^2+x+25k=0 has a repeated solution.
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We can observe that the function describing the graph is linear and so the equation is of linear nature:
Numbers m and n have special names. m is called the slope, n is called y-intercept.
From the graph one can tell that the line intercepts y-axis at y = -1 that means n = -1. What about the slope you say?
The slope can be calculated using two points' coordinates that lie on the line:
Now our line has an equation,
Hope this helps.