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Find the point-slope equation of the line using the point (7, 4) and slope of2Use the slash key (/) to indicate a fraction.

Find The Pointslope Equation Of The Line Using The Point 7 4 And Slope Of2Use The Slash Key To Indicate A Fraction class=

Sagot :

The general equation of a line is given as:

y = mx + c where

m = slope

c = intercept on y axis.

We are given a point (x,y) so we use the relation below to develop the equation.

[tex]\begin{gathered} \frac{y-y_1}{x-x_1}=slope \\ \text{where:} \\ y_1=\text{ 4} \\ x_1=7 \end{gathered}[/tex][tex]\frac{y-4}{x-7}=2[/tex]

Crossmultiplying, we have:

2x - 14 = y - 4

Adding 4 to both sides,

y = 2x - 14 + 4

y = 2x - 10

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