line (-4.93,0.87),(-5.55,0.9) — step-by-step solution

The slope between the two points is

\frac{y_{2} - y_{1}}{x_{2} - x_{1}}

\frac{0.9 - 0.87}{- 5.55 + 4.93}

⇥ⓘ The numerator and the denominator are computed before the division:

0.9 - 0.87

0.03

- 5.55 + 4.93

-0.62

⇥

\frac{0.03}{-0.62}

⇥ⓘ The sign of a fraction goes in front of the bar, whether it comes from the numerator or the denominator:

\frac{0.03}{-0.62}

- \frac{0.03}{0.62}

⇥

- \frac{0.03}{0.62}

⇥ⓘ The numerator and the denominator are multiplied by

100

to remove the decimal point:

- \frac{0.03}{0.62}

- \frac{0.03 \cdot 100}{0.62 \cdot 100}

- \frac{3}{62}

⇥

- \frac{3}{62}

The line passes through the first point with this slope:

y = - \frac{3}{62} \cdot (x + 4.93) + 0.87

Compute the y-intercept b = y₁ - m*x₁:

0.87 - (- \frac{3}{62} \cdot (-4.93))

⇥

0.87 - \frac{3}{62} \cdot 4.93

⇥ⓘ Multiplying a fraction by a number multiplies its numerator:

\frac{3}{62} \cdot 4.93

\frac{3 \cdot 4.93}{62}

\frac{14.79}{62}

⇥

0.87 - \frac{14.79}{62}

⇥ⓘ The numerator and the denominator are multiplied by

100

to remove the decimal point:

- \frac{14.79}{62}

- \frac{14.79 \cdot 100}{62 \cdot 100}

- \frac{1479}{6200}

⇥

0.87 - \frac{1479}{6200}

⇥ⓘ To add fractions, put them over the same denominator, then add the numerators:

0.87 - \frac{1479}{6200}

\frac{6200 \cdot 0.87 - 1479}{6200}

⇥

\frac{6200 \cdot 0.87 - 1479}{6200}

⇥ⓘ Multiplications are done before additions and subtractions. Multiply without the decimal points, then put the point back by counting the decimals of both factors:

6200 \cdot 0.87

\frac{6200 \cdot 87}{100}

\frac{539,400}{100}

5394

⇥

\frac{5394 - 1479}{6200}

⇥ⓘ The numerator and the denominator are computed before the division:

5394 - 1479

3915

⇥

\frac{3915}{6200}

⇥The fraction:

\frac{3915}{6200}

simplifies by the common factor:

5

into the new fraction:

\frac{783}{1240}

▶Line:

y = - \frac{3 x}{62} + \frac{783}{1240}