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baherus [9]
3 years ago
10

Help the question is in the picture will mark Brainliest

Mathematics
1 answer:
N76 [4]3 years ago
8 0

Answer:

y =3x + 6

Step-by-step explanation:

The gradient of a line is its slope, the rate of change of y with x.

The <u>gradient</u> (m) of the line in question is said to be:

  • <u>3 unitz</u>

m = 3

The same line passes thru the <u>point</u><u>,</u><u> </u>(x₁, y₁):

  • <u>(-1, 3)</u>

x₁ = -1

x₁ = -1y₁= 3

<h3><u>Line of </u><u>'</u><u>slope-point</u><u>"</u><u> </u><u>f</u><u>orm:</u></h3>

\boxed{ \mathsf{y  - y _1 = m(x - x _1 ) }}

<em>putting</em><em> </em><em>the</em><em> </em><em>values</em><em> </em><em>in</em><em> </em><em>place</em>

y - 3 = 3(x - (-1))

<em>two</em><em> </em><em>minus</em><em> </em><em>make</em><em> </em><em>a</em><em> </em><em>plus</em>

y - 3 = 3(x + 1)

y - 3 = 3x + 3

<em>isolating</em><em> </em><em>y</em><em> </em><em>(</em><em>sign</em><em> </em><em>of</em><em> </em><em>3</em><em> </em><em>changes</em><em> </em><em>as</em><em> </em><em>it</em><em> </em><em>changes</em><em> </em><em>its</em><em> </em><em>side</em><em>)</em>

y = 3x + 3 + 3

<u>y = 3x + 6 </u>

That is the required equation of the line.

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