find the value of y so the line that passes through (12,10) and (-2,y) has a gradient of -4

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04-11-2022
Mathematics

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find the value of y so the line that passes through (12,10) and (-2,y) has a gradient of -4

Sagot :

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SusannaC737756 SusannaC737756 · Answer 1 · 2022-11-04T06:41:18-04:00

SusannaC737756 SusannaC737756

04-11-2022

The gradient (or slope) formula is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

the slope is change in y's over change in x's.

Now, we simply put the coordinates into formula and figure the answer out!

[tex]\begin{gathered} m=\frac{y_2-y_1}{x_2-x_1} \\ -4=\frac{y-10_{}}{-2-12_{}} \\ -4=\frac{y-10}{-14} \\ 56=y-10 \\ y=56+10 \\ y=66 \end{gathered}[/tex]

The coordinate of y is 66

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