Question

An equation for the line whose slope is 4 and which passes thorough the point (-5,3)

Answer 1

Answer:

y = 4x + 23

Step-by-step explanation:

$y-y_{1}=m(x-x_{1} )\\y-3=4(x-(-5))\\y-3=4(x+5)\\y-3=4x+20\\y=4x+23$

Answer 2

The equation of the line is required.

The equation of the line is $y=4x+23$

Equation of line

$m$ = Slope of line = 4

Point = $(-5,3)$

$x_1=-5$

$y_1=3$

Equation of a line is given by

$y-y_1=m(x-x_1)\\\Rightarrow y-3=4(x-(-5))\\\Rightarrow y-3=4x+20\\\Rightarrow y=4x+20+3\\\Rightarrow y=4x+23$

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