How many solutions can be found for the equation 4x + 5 = 10? (4 points)
2 answers:
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Answer:
1
Step-by-step explanation:
For this question, your friend is the point-slope form.
Point-slope form =
The only variables you replace are m = slope, y1 = y of a given point, and x1 = x of a given point.
First, we need to find the slope that is perpendicular to the equation
An equation that is perpendicular to another equation have to be negative reciprocals (negative inverse) of each other.
If the slope is 3, then the negative reciprocal of 3 is .
So, since the given slope is -3/4, the negative reciprocal is .
We will use the negative reciprocal as m since we are trying to find the equation of line that includes (-3, -3) and is perpendicular to the other equation.
We will use point slope form using the (-3, -3) points and negative reciprocal as m.
Now, we need to convert this into slope-intercept form. The reason why we need to do this is because y = mx + b, where b is the y-intercept. To do this, solve for y - or in other words, isolate y..
The y-intercept of the line is 1.