Determine whether the dilation from Figure A to Figure B is a reduction or an enlargement
1 answer:
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Slope-intercept form: y = mx + b
(m is the slope, b is the y-intercept or the y value when x = 0 --> (0, y) or the point where the line crosses through the y-axis)
For lines to be parallel, they need to have the same slope.
To find the slope (m), use the slope formula:
And plug in the two points
(-2, 7) = (x₁, y₁)
(4, -5) = (x₂, y₂)
(two negative signs cancel each other out and become positive)
Simplify the fraction
m = -2
The slope is -2, so the parallel line's slope is also -2.
Your answer is C
Okay, let's see...
The problem is asking for a linear equation most likely in the form of y=mx+b
y is another way to say f(x)
<em>m = slope </em>
<em>b = y intercept </em>
Let's start with the y intercept first.
Y intercept means ' When does the line touch (intercept) the y axis.
In this case, if you look at the graph, the line <em>touches </em>the y axis at -1.
-1 will replaces b
To find the slope we are going to take 2 precise points from the graph.
Lets use <em>(0,-1)</em> and <em>(-6,4) </em>
To find the slope, we're going to use
4 - (-1) / -6 - 0
Solve, our slope is 5/-6
That is our m
Our final equation is