Question

BRAINLIEST if right!

Answer 1

Answer:

Slope Intercept Form= mx+b

Step-by-step explanation:

Answer 2

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: $y = 0.2x -1$