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Fiesta28 [93]
3 years ago
13

A line passes through (1, –5) and (–3, 7). a. Write an equation for the line in point-slope form. b. Rewrite the equation in slo

pe-intercept form. y – 5 = 3(x + 1); y = 3x + 8 y + 5 = –3(x – 1); y = –3x – 2

Mathematics
2 answers:
finlep [7]3 years ago
8 0

see picture attached.

i hope this helped !!

devlian [24]3 years ago
6 0

ANSWER

Point-slope form:

y  + 5 =  -3(x - 1)

Slope-intercept form;

y =  - 3x - 2

EXPLANATION

The point-slope form of a line is given by:

y-y_1=m(x-x_1)

We need to find the slope using the formula:

m =  \frac{y_2-y_1}{x_2-x_1}

Let us substitute the point (1, –5) and (–3, 7).

This implies that,

m =  \frac{7 -  - 5}{ - 3 - 1}

m =  \frac{12}{ - 4}  =  - 3

The point slope form now becomes,

y -  - 5 = - 3(x - 1)

y  + 5 =  -3(x - 1)

To find the slope intercept form, we expand to obtain;

y  =  - 3x  + 3 - 5

y =  - 3x - 2

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