Respuesta :
Answer:
graph{y=4x+1 [-10, 10, -5, 5]}
Step-by-step explanation:
Since the equation is linear/straight in the form
y = mx + c, you can determine the slope/gradient (m) and y-intercept (c).
m = 4
c = 1
To graph this equation, you'll need to find 2 points on the line and join them together. We know one of the points is (0, 1) as the y-intercept is 1.
You can find another point by substituting an arbitrary number into
x or y in the equation. In this example, I'll substitute 1 into x to find the y coordinate where the x coordinate is 1.
y = 4 (1) + 1
y = 4 + 1
y = 5
So, the second point would be (1, 5).
If you join the points (0, 1) and (1, 5) on a graph, this would be the line of the equation.
hope this helps!
The coordinates for the point for this equation [tex]y - 4 = -\frac{1}{3} (x-7),[/tex] is at (7, 4)
The standard form of the equation in point-slope form is expressed as:
[tex]y-y_0=m(x-x_0)\\[/tex]
m is the slope of the line
[tex](x_0, y_0)[/tex] is any point on the line
Given the equation [tex]y - 4 = -\frac{1}{3} (x-7),[/tex]
Compare the original equation with the given equation to get the coordinate for the point [tex](x_0, y_0)[/tex].
On comparison:
[tex]-x_0=-7\\x_0=7\\-y_0=-4\\y_0=4[/tex]
Hence the coordinates for the point is at (7, 4)
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