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OverLord2011 [107]
3 years ago
12

Find the equation of a line that contains the points (0,0) and (6,−7). Write the equation in slope-intercept form, using fractio

ns when required.
Mathematics
1 answer:
shtirl [24]3 years ago
3 0

Use the slope formula below:

\large \boxed{m =  \frac{y_2 - y_1}{x_2 - x_1} }

To form an equation of a line - we need to find a slope and the y-intercept from y = mx+b. We are given two points which we can substitute in the formula.

\large{m =  \frac{0 - ( - 7)}{0 - 6} } \\  \large{m =  \frac{0 + 7}{ - 6}  \longrightarrow  \frac{7}{ - 6} } \\  \large  \boxed{m =  -  \frac{7}{6} }

We have finally got the slope. Next is to find the y-intercept. First we rewrite the equation of y = mx+b by substituting the slope.

\large \boxed{y = mx  + b}

The equation above is the slope-intercept form. Substitute m = -7/6 in the equation.

\large{y =  -  \frac{7}{6} x + b}

Since the graph passes through (0,0) which is an origin point. In y = mx+b if the graph passes through origin point, that means the b-value is 0. Therefore:

\large \boxed{y =  -  \frac{7}{6}  + 0 \longrightarrow y =  -  \frac{7}{6} x}

Answer

  • y = -7x/6

Hope this helps and let me know if you have any doubts! Good luck on your assignment!

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