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Grace [21]
3 years ago
14

BRAINLIEST if right!

Mathematics
2 answers:
babymother [125]3 years ago
4 0

Answer:

Slope Intercept Form= mx+b

Step-by-step explanation:

sweet [91]3 years ago
3 0

Answer:

Point-slope form: y-1 = \frac{1}{5}(x-10)

Slope intercept form: y = 0.2x -1

Step-by-step explanation:

Point-slope form:

y-y_1 = m(x-x_1)

y1 and x1 are the y and x coordinates for a point on the line.

m is the slope.

We know m, as it is given:

m = 1/5

We also know a point on the line, (10, 1).

Here, the x-coordinate is 10, and the y-coordinate is 1.

Thus we can say the following:

x_1 = 10\\y_1 = 1

And, from previously:

m=\frac{1}{5}

Let's put these values into our equation.

y-y_1 = m(x-x_1)

y-1 = \frac{1}{5}(x-10)

If we want to answer in slope-intercept form:

y=ax+b

We can continue based on our point-form expression to isolate y:

y-1 = \frac{1}{5}(x-10)\\

Add 1 to both sides:

y= \frac{1}{5}(x-10)+1

Expanding the parenthesis (multiplying 1/5 with x and -10):

y= \frac{1}{5}x -2 + 1 \\\\y= \frac{1}{5}x -1\\\\y = 0.2x -1

Point-slope form: y-1 = \frac{1}{5}(x-10)

Slope intercept form: y = 0.2x -1

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