3 years ago

Y=2x-3 what is the slope and what is the y-intercept

Mathematics

2 answers:

Ipatiy [6.2K]3 years ago

6 0

Answer: THe slope is 2 and y intercept is -3

Step-by-step explanation:

siniylev [52]3 years ago

5 0

Answer:

Slope: 2

Y-intercept: -3

Step-by-step explanation:

The line is in point-slope form, or

y=mx+b

where m is the slope, and b is the y intercept

If we compare the 2 equations:

y=2x-3

y=mx+b

We can tell that the slope is 2, and the y-intercept is -3

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Travka [436]

$\sf \dfrac{3^x - 5 \times 3^{(x-2)}}{3^{(x-3)}} \\ \\ \longrightarrow \sf \dfrac{ {3}^{x} }{ {3}^{(x - 3)}} - \frac{5}{ {3}^{(x - 3)} } \times {3}^{(x - 2)} \\ \\ \longrightarrow \sf {3}^{[x - (x - 3)]} - \dfrac{5}{ {3}^{(x - 3)} } \times {3}^{(x - 2)} \\ \\ \longrightarrow \sf {3}^{3} - \dfrac{5}{ {3}^{(x - 3)} } \times \dfrac{ {3}^{x}}{9} \\ \\ \longrightarrow \sf {3}^{3} - \dfrac{5}{ \bigg(\dfrac{ {3}^{x} }{ {3}^{3} }\bigg) } \times \dfrac{ {3}^{x}}{9}\\ \\ \longrightarrow \sf {3}^{3} - \dfrac{ ({3}^{3})( 5)}{ {3}^{x} } \times \dfrac{ {3}^{x}}{9}\\ \\ \sf \longrightarrow {3}^{3} - (5 \times 3) \\ \\ \longrightarrow \sf \: 27 - 15 \\ \\ \longrightarrow \leadsto{\underline{\boxed{\sf{ \pink{ 12}}}}}$