What is the slope and y-intercept of the line 3x - 4y = 12?*
1 answer:
Answer:
m = 3/4; b = -3
Step-by-step explanation:
1) First, put the given equation into slope-intercept form. This is so we can identify its slope and y-intercept easily. Isolate y:
2) Lines that are in slope-intercept form are represented by the formula . The number in place of
, or the coefficient of the x-term, represents the slope. The number in place of
represents the y-intercept. So, the slope of
is
, and its y-intercept is -3.
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Hi there! See an attachment below! (May not be clear for an explanation so I will explain it to you.)
We can find real roots of polynomial function by counting their x-intercepts of graph. See in the attachment that the graph intersects 3 points on x-axis/plane.
x-axis represents the solutions of the graph or equation of the graph. For example, a graph of (x-1)² would be a parabola that has x-intercept at (1,0). If we solve the equation for (x-1)² = 0, our solution would be x = 1 like the x-intercepts.
Conclusions
- We can find the real roots of the graph by counting how many points does the graph intersect on x-axis/plane.
- If a graph doesn't intersect x-axis or does not have any points on x-axis, that graph or its equation does not have a real root. For example, graph of x²+1
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