Find the equation of the line, in slope-intercept form, that satisfies the given conditions. The graph is parallel to the graph

Question

3 years ago

15

of y = 3 5 x − 9 and passes through the point whose coordinates are (−5, −2).

1 answer:

Evgesh-ka [11] · Answer 1 · 2022-01-01T05:20:38+03:00

The equation of required line is:

$y=35x+173$

Step-by-step explanation:

We need to find the equation of the line, in slope-intercept form, that satisfies the given conditions:

The graph is parallel to the graph of y = 3 5 x − 9 and passes through the point whose coordinates are (−5, −2).

The slope intercept form is:

$y=mx+b$

where m is slope and b is y-intercept.

When lines are parallel, they have same slope.

m=35

Now, finding y-intercept using slope m =35 and coordinate (-5,-2)

$y=mx+b\\-2=35(-5)+b\\-2=-175+b\\b=-2+175\\b=173$

So, y-intercept b is 173

The equation of line in slope-intercept form is:

$y=mx+b\\y=35x+173$

So, the equation of required line is:

$y=35x+173$

Keywords: Equation of line using Slope

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