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zubka84 [21]
3 years ago
6

Could I get some help with this question please?

Mathematics
1 answer:
icang [17]3 years ago
5 0
Opposite
additive inverse
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Write the equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3
Inga [223]

Answer:

The equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3 is:

\mathbf{y=-\frac{2}{3}x+1}

Step-by-step explanation:

We need to write equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3.

The equation for slope-intercept form is: y=mx+b

where m is slope and b is y-intercept.

We are given slope m = -2/3 and we need to find y-intercept i.e b to write equation of line.

Using point (3,-1) and slope m=-2/3 we can find y-intercept i.e b

y=mx+b\\-1=-\frac{2}{3}(3)+b\\-1=-2+b\\b=-1+2\\b=1

So, y-intercept b = 1

The equation of the line, in slope-intercept form, that passes through (3,-1) and has a slope = -2/3 is:

y=mx+b\\\mathbf{y=-\frac{2}{3}x+1}

7 0
3 years ago
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