Respuesta :

carlosego

Answer: [tex]y=\frac{5}{8}x+\frac{7}{4}}[/tex]

Step-by-step explanation:

The slope-intercept form of a equation of the line is:

[tex]y=mx+b[/tex]

Where m is the slope and b the y-intercept-

If the lines are parallel then they have the same slope:

[tex]m=\frac{5}{8}[/tex]

You can find the value of b by substituting the point given and the slope into the equation and solving for b:

[tex]3=\frac{5}{8}*2+b\\b=\frac{7}{4}[[/tex]

Then the equation is:

[tex]y=\frac{5}{8}x+\frac{7}{4}}[/tex]

alinakincsem

Answer:

[tex]y = \frac{5}{8} x+\frac{7}{4}[/tex]

Step-by-step explanation:

We are to write the slope intercept form of the equation which passes through the point (2, 3) and is parallel to the line [tex]y = \frac{5}{8} x-7[/tex].

We know that the standard (slope-intercept) form of an equation of a line is given by: [tex]y=mx+c[/tex]

where [tex]m[/tex] is the slope and [tex]c[/tex] is the y-intercept.

Since we are to find the equation of the line parallel to the given equation so its slope will be same as of [tex]y = \frac{5}{8} x-7[/tex].

Finding the y-intercept:

[tex]y=mx+c[/tex]

[tex]3=\frac{5}{8}(2)+c[/tex]

[tex]c=\frac{7}{4}[/tex]

Therefore, the equation will be [tex]y = \frac{5}{8} x+\frac{7}{4}[/tex].

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