Question

Find the slope and the y intercept of the line, -5x - 2y = -10

Answer 1

Answer:

y-intercept=5; slope=-5/2

Step-by-step explanation:

What you need to do, is solve for y. That’s the same as isolating y.

1. First step, add 5x to both sides, then it becomes -2y=5x-10.
2. Next, divide both sides by -2, so it becomes y=-5x/2+5
3. Find the slope and y-intercept. The slope is the fraction/number multiplied to x. The y-intercept is the number that is added/subtracted from the equation. The y-intercept is 5 and the slope is -5/2, which by the way means, that every 5 units down, the line with go 2 units to the right.

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Answer 2

Solution:

General Form of a Straight Line is given as:

• y = mx + c

According to the question, the given equation is of the form:

→ -5x = -2y = -10

On simplifying and transposing values we get:

→2y = -5x + 10

→ y = (-5/2) x + 10/2

→ y = (-5/2) x + 5

Comparing it with the general form we get:

• m = -5/2 (or) -2.5
• c = 5

Therefore the value of slope is -2.5 units.

y-intercept is the distance of point on the y-axis from origin.

To calculate the y-intercept, we need to substitute the value of x as zero in the equation. Substituting x as zero we get:

→ y = (-5/2)(0) + 5

→ y = 0 + 5

→ y = 5

Therefore the value of y-intercept for the given question is 5 units.