Answer:
[tex]y = 2x - 5[/tex]
Step-by-step explanation:
slope-intercept form is [tex]y = mx + b[/tex] with [tex]m[/tex] being the slope of the line and [tex]b[/tex] being the y-intercept (where the line touches the y-axis)
First we can find [tex]m[/tex] using the formula for slope, [tex]\frac{rise}{run}[/tex] (or [tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]), which is the change in y over the change in x.
We can use any points on the line, but I am going to use [tex](4, 3)[/tex] and [tex](3, 1)[/tex] for this example. We can now find the slope.
[tex]\frac{3-1}{4-3} = \frac{2}{1}[/tex]
This means your slope is 2, which means [tex]m[/tex] is 2.
Finding the y-intercept is easy. This line crosses the y-axis at -5, and so [tex]b[/tex] is -5.
Now we can plug in the values into our original equation to get the equation of the line.
[tex]y = 2x - 5[/tex]
That is the answer
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