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slope = 2/5; y-intercept = -7

Sagot :

We want to find the equation of the line with given slope and y-intercept.

The slope-intercept form of a line is:

[tex]y=mx+b[/tex]

Where

m is the slope

b is the y-intercept (y-axis cutting point)

We are given the slope and y-intercept, so we simply substitute it. Steps are shown below:

[tex]\begin{gathered} y=mx+b \\ y=\frac{2}{5}x+(-7) \\ y=\frac{2}{5}x-7 \end{gathered}[/tex]

The equation of the line is:

[tex]y=\frac{2}{5}x-7[/tex]